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Finding the Fourth Proportional to 278,919.60, 384,909.08 and 151,595.20

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Solution

The fourth proportional to 278,919.60, 384,909.08 and 151,595.20 is: 209,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919.60 : 384,909.08 = 151,595.20 : x
  2. Step 2: Convert to fraction form
    278,919.60/384,909.08 = 151,595.20/x
  3. Step 3: Cross multiply
    278,919.60x = 384,909.08 × 151,595.20
  4. Step 4: Simplify right side
    278,919.60x = 58,350,368,964.42
  5. Step 5: Solve for x
    x = 58,350,368,964.42/278,919.60
  6. Step 6: Final answer
    x = 209,201.39

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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.