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Finding the Fourth Proportional to 150,251.60, 207,347.20 and 83,183.60

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Solution

The fourth proportional to 150,251.60, 207,347.20 and 83,183.60 is: 114,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,251.60 : 207,347.20 = 83,183.60 : x
  2. Step 2: Convert to fraction form
    150,251.60/207,347.20 = 83,183.60/x
  3. Step 3: Cross multiply
    150,251.60x = 207,347.20 × 83,183.60
  4. Step 4: Simplify right side
    150,251.60x = 17,247,886,545.92
  5. Step 5: Solve for x
    x = 17,247,886,545.92/150,251.60
  6. Step 6: Final answer
    x = 114,793.36

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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.