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Finding the Fourth Proportional to 171,937.85, 257,943.13 and 52,003.75

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Solution

The fourth proportional to 171,937.85, 257,943.13 and 52,003.75 is: 78,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,937.85 : 257,943.13 = 52,003.75 : x
  2. Step 2: Convert to fraction form
    171,937.85/257,943.13 = 52,003.75/x
  3. Step 3: Cross multiply
    171,937.85x = 257,943.13 × 52,003.75
  4. Step 4: Simplify right side
    171,937.85x = 13,414,010,046.74
  5. Step 5: Solve for x
    x = 13,414,010,046.74/171,937.85
  6. Step 6: Final answer
    x = 78,016.62

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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.