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Finding the Fourth Proportional to 208,834.80, 313,252.20 and 75,714.90

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Solution

The fourth proportional to 208,834.80, 313,252.20 and 75,714.90 is: 113,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.80 : 313,252.20 = 75,714.90 : x
  2. Step 2: Convert to fraction form
    208,834.80/313,252.20 = 75,714.90/x
  3. Step 3: Cross multiply
    208,834.80x = 313,252.20 × 75,714.90
  4. Step 4: Simplify right side
    208,834.80x = 23,717,858,997.78
  5. Step 5: Solve for x
    x = 23,717,858,997.78/208,834.80
  6. Step 6: Final answer
    x = 113,572.35

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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.