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Finding the Fourth Proportional to 278,278.01, 384,023.78 and 157,416.72

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Solution

The fourth proportional to 278,278.01, 384,023.78 and 157,416.72 is: 217,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,278.01 : 384,023.78 = 157,416.72 : x
  2. Step 2: Convert to fraction form
    278,278.01/384,023.78 = 157,416.72/x
  3. Step 3: Cross multiply
    278,278.01x = 384,023.78 × 157,416.72
  4. Step 4: Simplify right side
    278,278.01x = 60,451,766,338.41
  5. Step 5: Solve for x
    x = 60,451,766,338.41/278,278.01
  6. Step 6: Final answer
    x = 217,235.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.