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Finding the Fourth Proportional to 167,448.63, 230,823.09 and 102,798.48

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Solution

The fourth proportional to 167,448.63, 230,823.09 and 102,798.48 is: 141,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,448.63 : 230,823.09 = 102,798.48 : x
  2. Step 2: Convert to fraction form
    167,448.63/230,823.09 = 102,798.48/x
  3. Step 3: Cross multiply
    167,448.63x = 230,823.09 × 102,798.48
  4. Step 4: Simplify right side
    167,448.63x = 23,728,262,800.90
  5. Step 5: Solve for x
    x = 23,728,262,800.90/167,448.63
  6. Step 6: Final answer
    x = 141,704.73

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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.