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Finding the Fourth Proportional to 137,633.48, 206,425.56 and 37,780.53

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Solution

The fourth proportional to 137,633.48, 206,425.56 and 37,780.53 is: 56,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,633.48 : 206,425.56 = 37,780.53 : x
  2. Step 2: Convert to fraction form
    137,633.48/206,425.56 = 37,780.53/x
  3. Step 3: Cross multiply
    137,633.48x = 206,425.56 × 37,780.53
  4. Step 4: Simplify right side
    137,633.48x = 7,798,866,429.93
  5. Step 5: Solve for x
    x = 7,798,866,429.93/137,633.48
  6. Step 6: Final answer
    x = 56,664.02

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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.