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Finding the Fourth Proportional to 157,187.62, 216,854.82 and 96,740.02

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Solution

The fourth proportional to 157,187.62, 216,854.82 and 96,740.02 is: 133,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,187.62 : 216,854.82 = 96,740.02 : x
  2. Step 2: Convert to fraction form
    157,187.62/216,854.82 = 96,740.02/x
  3. Step 3: Cross multiply
    157,187.62x = 216,854.82 × 96,740.02
  4. Step 4: Simplify right side
    157,187.62x = 20,978,539,623.90
  5. Step 5: Solve for x
    x = 20,978,539,623.90/157,187.62
  6. Step 6: Final answer
    x = 133,461.78

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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.