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Finding the Fourth Proportional to 137,498.77, 206,248.29 and 37,659.79

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Solution

The fourth proportional to 137,498.77, 206,248.29 and 37,659.79 is: 56,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,498.77 : 206,248.29 = 37,659.79 : x
  2. Step 2: Convert to fraction form
    137,498.77/206,248.29 = 37,659.79/x
  3. Step 3: Cross multiply
    137,498.77x = 206,248.29 × 37,659.79
  4. Step 4: Simplify right side
    137,498.77x = 7,767,267,289.26
  5. Step 5: Solve for x
    x = 7,767,267,289.26/137,498.77
  6. Step 6: Final answer
    x = 56,489.72

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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.