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Finding the Fourth Proportional to 157,162.38, 216,888.78 and 96,767.86

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Solution

The fourth proportional to 157,162.38, 216,888.78 and 96,767.86 is: 133,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,162.38 : 216,888.78 = 96,767.86 : x
  2. Step 2: Convert to fraction form
    157,162.38/216,888.78 = 96,767.86/x
  3. Step 3: Cross multiply
    157,162.38x = 216,888.78 × 96,767.86
  4. Step 4: Simplify right side
    157,162.38x = 20,987,863,098.61
  5. Step 5: Solve for x
    x = 20,987,863,098.61/157,162.38
  6. Step 6: Final answer
    x = 133,542.54

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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.