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Finding the Fourth Proportional to 157,164.46, 216,891.65 and 96,769.95

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Solution

The fourth proportional to 157,164.46, 216,891.65 and 96,769.95 is: 133,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,164.46 : 216,891.65 = 96,769.95 : x
  2. Step 2: Convert to fraction form
    157,164.46/216,891.65 = 96,769.95/x
  3. Step 3: Cross multiply
    157,164.46x = 216,891.65 × 96,769.95
  4. Step 4: Simplify right side
    157,164.46x = 20,988,594,125.92
  5. Step 5: Solve for x
    x = 20,988,594,125.92/157,164.46
  6. Step 6: Final answer
    x = 133,545.42

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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.