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Finding the Fourth Proportional to 278,920.60, 384,914.34 and 151,596.16

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Solution

The fourth proportional to 278,920.60, 384,914.34 and 151,596.16 is: 209,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,920.60 : 384,914.34 = 151,596.16 : x
  2. Step 2: Convert to fraction form
    278,920.60/384,914.34 = 151,596.16/x
  3. Step 3: Cross multiply
    278,920.60x = 384,914.34 × 151,596.16
  4. Step 4: Simplify right side
    278,920.60x = 58,351,535,872.93
  5. Step 5: Solve for x
    x = 58,351,535,872.93/278,920.60
  6. Step 6: Final answer
    x = 209,204.83

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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.