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Finding the Fourth Proportional to 157,776.72, 217,737.12 and 86,162.16

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Solution

The fourth proportional to 157,776.72, 217,737.12 and 86,162.16 is: 118,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,776.72 : 217,737.12 = 86,162.16 : x
  2. Step 2: Convert to fraction form
    157,776.72/217,737.12 = 86,162.16/x
  3. Step 3: Cross multiply
    157,776.72x = 217,737.12 × 86,162.16
  4. Step 4: Simplify right side
    157,776.72x = 18,760,700,571.38
  5. Step 5: Solve for x
    x = 18,760,700,571.38/157,776.72
  6. Step 6: Final answer
    x = 118,906.65

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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.