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Finding the Fourth Proportional to 208,031.20, 312,046.80 and 194,909.20

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Solution

The fourth proportional to 208,031.20, 312,046.80 and 194,909.20 is: 292,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,031.20 : 312,046.80 = 194,909.20 : x
  2. Step 2: Convert to fraction form
    208,031.20/312,046.80 = 194,909.20/x
  3. Step 3: Cross multiply
    208,031.20x = 312,046.80 × 194,909.20
  4. Step 4: Simplify right side
    208,031.20x = 60,820,792,150.56
  5. Step 5: Solve for x
    x = 60,820,792,150.56/208,031.20
  6. Step 6: Final answer
    x = 292,363.80

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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.