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Finding the Fourth Proportional to 137,612.82, 206,414.91 and 39,116.82

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Solution

The fourth proportional to 137,612.82, 206,414.91 and 39,116.82 is: 58,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612.82 : 206,414.91 = 39,116.82 : x
  2. Step 2: Convert to fraction form
    137,612.82/206,414.91 = 39,116.82/x
  3. Step 3: Cross multiply
    137,612.82x = 206,414.91 × 39,116.82
  4. Step 4: Simplify right side
    137,612.82x = 8,074,294,879.79
  5. Step 5: Solve for x
    x = 8,074,294,879.79/137,612.82
  6. Step 6: Final answer
    x = 58,674.00

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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.