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Finding the Fourth Proportional to 137,654.46, 206,479.24 and 37,814.26

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Solution

The fourth proportional to 137,654.46, 206,479.24 and 37,814.26 is: 56,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,654.46 : 206,479.24 = 37,814.26 : x
  2. Step 2: Convert to fraction form
    137,654.46/206,479.24 = 37,814.26/x
  3. Step 3: Cross multiply
    137,654.46x = 206,479.24 × 37,814.26
  4. Step 4: Simplify right side
    137,654.46x = 7,807,859,665.96
  5. Step 5: Solve for x
    x = 7,807,859,665.96/137,654.46
  6. Step 6: Final answer
    x = 56,720.72

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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.