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Finding the Fourth Proportional to 208,855.20, 288,212.45 and 113,359.85

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Solution

The fourth proportional to 208,855.20, 288,212.45 and 113,359.85 is: 156,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.20 : 288,212.45 = 113,359.85 : x
  2. Step 2: Convert to fraction form
    208,855.20/288,212.45 = 113,359.85/x
  3. Step 3: Cross multiply
    208,855.20x = 288,212.45 × 113,359.85
  4. Step 4: Simplify right side
    208,855.20x = 32,671,718,092.27
  5. Step 5: Solve for x
    x = 32,671,718,092.27/208,855.20
  6. Step 6: Final answer
    x = 156,432.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.