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Finding the Fourth Proportional to 200,456.53, 276,630.12 and 109,815.77

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Solution

The fourth proportional to 200,456.53, 276,630.12 and 109,815.77 is: 151,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456.53 : 276,630.12 = 109,815.77 : x
  2. Step 2: Convert to fraction form
    200,456.53/276,630.12 = 109,815.77/x
  3. Step 3: Cross multiply
    200,456.53x = 276,630.12 × 109,815.77
  4. Step 4: Simplify right side
    200,456.53x = 30,378,350,324.57
  5. Step 5: Solve for x
    x = 30,378,350,324.57/200,456.53
  6. Step 6: Final answer
    x = 151,545.83

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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.