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Finding the Fourth Proportional to 137,714.52, 206,581.18 and 44,214.60

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Solution

The fourth proportional to 137,714.52, 206,581.18 and 44,214.60 is: 66,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714.52 : 206,581.18 = 44,214.60 : x
  2. Step 2: Convert to fraction form
    137,714.52/206,581.18 = 44,214.60/x
  3. Step 3: Cross multiply
    137,714.52x = 206,581.18 × 44,214.60
  4. Step 4: Simplify right side
    137,714.52x = 9,133,904,241.23
  5. Step 5: Solve for x
    x = 9,133,904,241.23/137,714.52
  6. Step 6: Final answer
    x = 66,324.92

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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.