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Finding the Fourth Proportional to 146,714.70, 220,158.45 and 53,229.90

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Solution

The fourth proportional to 146,714.70, 220,158.45 and 53,229.90 is: 79,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,714.70 : 220,158.45 = 53,229.90 : x
  2. Step 2: Convert to fraction form
    146,714.70/220,158.45 = 53,229.90/x
  3. Step 3: Cross multiply
    146,714.70x = 220,158.45 × 53,229.90
  4. Step 4: Simplify right side
    146,714.70x = 11,719,012,277.66
  5. Step 5: Solve for x
    x = 11,719,012,277.66/146,714.70
  6. Step 6: Final answer
    x = 79,876.20

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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.