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Finding the Fourth Proportional to 157,871.16, 217,866.48 and 86,255.04

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Solution

The fourth proportional to 157,871.16, 217,866.48 and 86,255.04 is: 119,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,871.16 : 217,866.48 = 86,255.04 : x
  2. Step 2: Convert to fraction form
    157,871.16/217,866.48 = 86,255.04/x
  3. Step 3: Cross multiply
    157,871.16x = 217,866.48 × 86,255.04
  4. Step 4: Simplify right side
    157,871.16x = 18,792,081,947.06
  5. Step 5: Solve for x
    x = 18,792,081,947.06/157,871.16
  6. Step 6: Final answer
    x = 119,034.29

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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.