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Finding the Fourth Proportional to 157,767.62, 217,728.17 and 86,154.30

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Solution

The fourth proportional to 157,767.62, 217,728.17 and 86,154.30 is: 118,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,767.62 : 217,728.17 = 86,154.30 : x
  2. Step 2: Convert to fraction form
    157,767.62/217,728.17 = 86,154.30/x
  3. Step 3: Cross multiply
    157,767.62x = 217,728.17 × 86,154.30
  4. Step 4: Simplify right side
    157,767.62x = 18,758,218,076.63
  5. Step 5: Solve for x
    x = 18,758,218,076.63/157,767.62
  6. Step 6: Final answer
    x = 118,897.77

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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.