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Finding the Fourth Proportional to 202,992,905.48, 280,132,896.90 and 110,174,525.96

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Solution

The fourth proportional to 202,992,905.48, 280,132,896.90 and 110,174,525.96 is: 152,042,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992,905.48 : 280,132,896.90 = 110,174,525.96 : x
  2. Step 2: Convert to fraction form
    202,992,905.48/280,132,896.90 = 110,174,525.96/x
  3. Step 3: Cross multiply
    202,992,905.48x = 280,132,896.90 × 110,174,525.96
  4. Step 4: Simplify right side
    202,992,905.48x = 30,863,509,121,759,048
  5. Step 5: Solve for x
    x = 30,863,509,121,759,048/202,992,905.48
  6. Step 6: Final answer
    x = 152,042,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.