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Finding the Fourth Proportional to 157,934.01, 217,948.96 and 86,314.02

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Solution

The fourth proportional to 157,934.01, 217,948.96 and 86,314.02 is: 119,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,934.01 : 217,948.96 = 86,314.02 : x
  2. Step 2: Convert to fraction form
    157,934.01/217,948.96 = 86,314.02/x
  3. Step 3: Cross multiply
    157,934.01x = 217,948.96 × 86,314.02
  4. Step 4: Simplify right side
    157,934.01x = 18,812,050,183.00
  5. Step 5: Solve for x
    x = 18,812,050,183.00/157,934.01
  6. Step 6: Final answer
    x = 119,113.35

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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.