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Finding the Fourth Proportional to 137,679.72, 206,481.96 and 37,816.17

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Solution

The fourth proportional to 137,679.72, 206,481.96 and 37,816.17 is: 56,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.72 : 206,481.96 = 37,816.17 : x
  2. Step 2: Convert to fraction form
    137,679.72/206,481.96 = 37,816.17/x
  3. Step 3: Cross multiply
    137,679.72x = 206,481.96 × 37,816.17
  4. Step 4: Simplify right side
    137,679.72x = 7,808,356,126.99
  5. Step 5: Solve for x
    x = 7,808,356,126.99/137,679.72
  6. Step 6: Final answer
    x = 56,713.92

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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.