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Finding the Fourth Proportional to 137,182.80, 205,753.42 and 37,350.86

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Solution

The fourth proportional to 137,182.80, 205,753.42 and 37,350.86 is: 56,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,182.80 : 205,753.42 = 37,350.86 : x
  2. Step 2: Convert to fraction form
    137,182.80/205,753.42 = 37,350.86/x
  3. Step 3: Cross multiply
    137,182.80x = 205,753.42 × 37,350.86
  4. Step 4: Simplify right side
    137,182.80x = 7,685,067,184.94
  5. Step 5: Solve for x
    x = 7,685,067,184.94/137,182.80
  6. Step 6: Final answer
    x = 56,020.63

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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.