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Finding the Fourth Proportional to 209,092.30, 288,545.82 and 113,599.78

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Solution

The fourth proportional to 209,092.30, 288,545.82 and 113,599.78 is: 156,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,092.30 : 288,545.82 = 113,599.78 : x
  2. Step 2: Convert to fraction form
    209,092.30/288,545.82 = 113,599.78/x
  3. Step 3: Cross multiply
    209,092.30x = 288,545.82 × 113,599.78
  4. Step 4: Simplify right side
    209,092.30x = 32,778,741,671.92
  5. Step 5: Solve for x
    x = 32,778,741,671.92/209,092.30
  6. Step 6: Final answer
    x = 156,766.85

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1.5x scale

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.