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Finding the Fourth Proportional to 146,548.92, 219,775.14 and 51,761.88

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Solution

The fourth proportional to 146,548.92, 219,775.14 and 51,761.88 is: 77,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,548.92 : 219,775.14 = 51,761.88 : x
  2. Step 2: Convert to fraction form
    146,548.92/219,775.14 = 51,761.88/x
  3. Step 3: Cross multiply
    146,548.92x = 219,775.14 × 51,761.88
  4. Step 4: Simplify right side
    146,548.92x = 11,375,974,423.66
  5. Step 5: Solve for x
    x = 11,375,974,423.66/146,548.92
  6. Step 6: Final answer
    x = 77,625.78

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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.