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Finding the Fourth Proportional to 278,867.28, 384,821.04 and 151,542

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Solution

The fourth proportional to 278,867.28, 384,821.04 and 151,542 is: 209,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,867.28 : 384,821.04 = 151,542 : x
  2. Step 2: Convert to fraction form
    278,867.28/384,821.04 = 151,542/x
  3. Step 3: Cross multiply
    278,867.28x = 384,821.04 × 151,542
  4. Step 4: Simplify right side
    278,867.28x = 58,316,550,043.68
  5. Step 5: Solve for x
    x = 58,316,550,043.68/278,867.28
  6. Step 6: Final answer
    x = 209,119.37

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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.