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Finding the Fourth Proportional to 137,486.20, 206,229.14 and 37,647.16

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Solution

The fourth proportional to 137,486.20, 206,229.14 and 37,647.16 is: 56,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,486.20 : 206,229.14 = 37,647.16 : x
  2. Step 2: Convert to fraction form
    137,486.20/206,229.14 = 37,647.16/x
  3. Step 3: Cross multiply
    137,486.20x = 206,229.14 × 37,647.16
  4. Step 4: Simplify right side
    137,486.20x = 7,763,941,430.24
  5. Step 5: Solve for x
    x = 7,763,941,430.24/137,486.20
  6. Step 6: Final answer
    x = 56,470.70

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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.