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Finding the Fourth Proportional to 157,149.76, 216,872.22 and 89,167

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Solution

The fourth proportional to 157,149.76, 216,872.22 and 89,167 is: 123,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,149.76 : 216,872.22 = 89,167 : x
  2. Step 2: Convert to fraction form
    157,149.76/216,872.22 = 89,167/x
  3. Step 3: Cross multiply
    157,149.76x = 216,872.22 × 89,167
  4. Step 4: Simplify right side
    157,149.76x = 19,337,845,240.74
  5. Step 5: Solve for x
    x = 19,337,845,240.74/157,149.76
  6. Step 6: Final answer
    x = 123,053.61

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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.