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Finding the Fourth Proportional to 278,033.16, 383,688.18 and 150,710.88

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Solution

The fourth proportional to 278,033.16, 383,688.18 and 150,710.88 is: 207,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,033.16 : 383,688.18 = 150,710.88 : x
  2. Step 2: Convert to fraction form
    278,033.16/383,688.18 = 150,710.88/x
  3. Step 3: Cross multiply
    278,033.16x = 383,688.18 × 150,710.88
  4. Step 4: Simplify right side
    278,033.16x = 57,825,983,253.40
  5. Step 5: Solve for x
    x = 57,825,983,253.40/278,033.16
  6. Step 6: Final answer
    x = 207,982.33

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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.