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Finding the Fourth Proportional to 157,160.38, 216,886.02 and 96,765.86

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Solution

The fourth proportional to 157,160.38, 216,886.02 and 96,765.86 is: 133,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160.38 : 216,886.02 = 96,765.86 : x
  2. Step 2: Convert to fraction form
    157,160.38/216,886.02 = 96,765.86/x
  3. Step 3: Cross multiply
    157,160.38x = 216,886.02 × 96,765.86
  4. Step 4: Simplify right side
    157,160.38x = 20,987,163,377.59
  5. Step 5: Solve for x
    x = 20,987,163,377.59/157,160.38
  6. Step 6: Final answer
    x = 133,539.79

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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.