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Finding the Fourth Proportional to 137,286.65, 205,908.80 and 37,454.96

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Solution

The fourth proportional to 137,286.65, 205,908.80 and 37,454.96 is: 56,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286.65 : 205,908.80 = 37,454.96 : x
  2. Step 2: Convert to fraction form
    137,286.65/205,908.80 = 37,454.96/x
  3. Step 3: Cross multiply
    137,286.65x = 205,908.80 × 37,454.96
  4. Step 4: Simplify right side
    137,286.65x = 7,712,304,650.83
  5. Step 5: Solve for x
    x = 7,712,304,650.83/137,286.65
  6. Step 6: Final answer
    x = 56,176.66

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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.