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Finding the Fourth Proportional to 151,710.70, 227,711.85 and 76,915.30

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Solution

The fourth proportional to 151,710.70, 227,711.85 and 76,915.30 is: 115,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,710.70 : 227,711.85 = 76,915.30 : x
  2. Step 2: Convert to fraction form
    151,710.70/227,711.85 = 76,915.30/x
  3. Step 3: Cross multiply
    151,710.70x = 227,711.85 × 76,915.30
  4. Step 4: Simplify right side
    151,710.70x = 17,514,525,256.31
  5. Step 5: Solve for x
    x = 17,514,525,256.31/151,710.70
  6. Step 6: Final answer
    x = 115,446.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.