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Finding the Fourth Proportional to 306,006.60, 459,082.80 and 148,105.20

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Solution

The fourth proportional to 306,006.60, 459,082.80 and 148,105.20 is: 222,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,006.60 : 459,082.80 = 148,105.20 : x
  2. Step 2: Convert to fraction form
    306,006.60/459,082.80 = 148,105.20/x
  3. Step 3: Cross multiply
    306,006.60x = 459,082.80 × 148,105.20
  4. Step 4: Simplify right side
    306,006.60x = 67,992,549,910.56
  5. Step 5: Solve for x
    x = 67,992,549,910.56/306,006.60
  6. Step 6: Final answer
    x = 222,193.08

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1.5x scale

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.