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Finding the Fourth Proportional to 157,947.18, 217,960.56 and 86,329.68

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Solution

The fourth proportional to 157,947.18, 217,960.56 and 86,329.68 is: 119,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,947.18 : 217,960.56 = 86,329.68 : x
  2. Step 2: Convert to fraction form
    157,947.18/217,960.56 = 86,329.68/x
  3. Step 3: Cross multiply
    157,947.18x = 217,960.56 × 86,329.68
  4. Step 4: Simplify right side
    157,947.18x = 18,816,465,397.42
  5. Step 5: Solve for x
    x = 18,816,465,397.42/157,947.18
  6. Step 6: Final answer
    x = 119,131.38

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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.