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Finding the Fourth Proportional to 157,963.11, 217,981.50 and 86,343.15

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Solution

The fourth proportional to 157,963.11, 217,981.50 and 86,343.15 is: 119,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,963.11 : 217,981.50 = 86,343.15 : x
  2. Step 2: Convert to fraction form
    157,963.11/217,981.50 = 86,343.15/x
  3. Step 3: Cross multiply
    157,963.11x = 217,981.50 × 86,343.15
  4. Step 4: Simplify right side
    157,963.11x = 18,821,209,351.73
  5. Step 5: Solve for x
    x = 18,821,209,351.73/157,963.11
  6. Step 6: Final answer
    x = 119,149.40

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1.5x scale

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.