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Finding the Fourth Proportional to 144,905.80, 202,453.40 and 144,905.80

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Solution

The fourth proportional to 144,905.80, 202,453.40 and 144,905.80 is: 202,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,905.80 : 202,453.40 = 144,905.80 : x
  2. Step 2: Convert to fraction form
    144,905.80/202,453.40 = 144,905.80/x
  3. Step 3: Cross multiply
    144,905.80x = 202,453.40 × 144,905.80
  4. Step 4: Simplify right side
    144,905.80x = 29,336,671,889.72
  5. Step 5: Solve for x
    x = 29,336,671,889.72/144,905.80
  6. Step 6: Final answer
    x = 202,453.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.