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Finding the Fourth Proportional to 278,466.59, 384,282.92 and 151,142.18

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Solution

The fourth proportional to 278,466.59, 384,282.92 and 151,142.18 is: 208,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,466.59 : 384,282.92 = 151,142.18 : x
  2. Step 2: Convert to fraction form
    278,466.59/384,282.92 = 151,142.18/x
  3. Step 3: Cross multiply
    278,466.59x = 384,282.92 × 151,142.18
  4. Step 4: Simplify right side
    278,466.59x = 58,081,357,509.85
  5. Step 5: Solve for x
    x = 58,081,357,509.85/278,466.59
  6. Step 6: Final answer
    x = 208,575.68

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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.