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Finding the Fourth Proportional to 278,963.20, 384,964.68 and 151,642

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Solution

The fourth proportional to 278,963.20, 384,964.68 and 151,642 is: 209,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,963.20 : 384,964.68 = 151,642 : x
  2. Step 2: Convert to fraction form
    278,963.20/384,964.68 = 151,642/x
  3. Step 3: Cross multiply
    278,963.20x = 384,964.68 × 151,642
  4. Step 4: Simplify right side
    278,963.20x = 58,376,814,004.56
  5. Step 5: Solve for x
    x = 58,376,814,004.56/278,963.20
  6. Step 6: Final answer
    x = 209,263.49

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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.