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Finding the Fourth Proportional to 278,462.90, 384,279.15 and 151,138.53

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Solution

The fourth proportional to 278,462.90, 384,279.15 and 151,138.53 is: 208,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462.90 : 384,279.15 = 151,138.53 : x
  2. Step 2: Convert to fraction form
    278,462.90/384,279.15 = 151,138.53/x
  3. Step 3: Cross multiply
    278,462.90x = 384,279.15 × 151,138.53
  4. Step 4: Simplify right side
    278,462.90x = 58,079,386,407.42
  5. Step 5: Solve for x
    x = 58,079,386,407.42/278,462.90
  6. Step 6: Final answer
    x = 208,571.36

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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.