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Finding the Fourth Proportional to 278,001.76, 383,642.24 and 150,677.28

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Solution

The fourth proportional to 278,001.76, 383,642.24 and 150,677.28 is: 207,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,001.76 : 383,642.24 = 150,677.28 : x
  2. Step 2: Convert to fraction form
    278,001.76/383,642.24 = 150,677.28/x
  3. Step 3: Cross multiply
    278,001.76x = 383,642.24 × 150,677.28
  4. Step 4: Simplify right side
    278,001.76x = 57,806,169,216.31
  5. Step 5: Solve for x
    x = 57,806,169,216.31/278,001.76
  6. Step 6: Final answer
    x = 207,934.54

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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.