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Finding the Fourth Proportional to 185,843.70, 278,776.13 and 52,713.44

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Solution

The fourth proportional to 185,843.70, 278,776.13 and 52,713.44 is: 79,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,843.70 : 278,776.13 = 52,713.44 : x
  2. Step 2: Convert to fraction form
    185,843.70/278,776.13 = 52,713.44/x
  3. Step 3: Cross multiply
    185,843.70x = 278,776.13 × 52,713.44
  4. Step 4: Simplify right side
    185,843.70x = 14,695,247,144.74
  5. Step 5: Solve for x
    x = 14,695,247,144.74/185,843.70
  6. Step 6: Final answer
    x = 79,073.15

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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.