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Finding the Fourth Proportional to 278,234.34, 383,965.56 and 150,909.90

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Solution

The fourth proportional to 278,234.34, 383,965.56 and 150,909.90 is: 208,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,234.34 : 383,965.56 = 150,909.90 : x
  2. Step 2: Convert to fraction form
    278,234.34/383,965.56 = 150,909.90/x
  3. Step 3: Cross multiply
    278,234.34x = 383,965.56 × 150,909.90
  4. Step 4: Simplify right side
    278,234.34x = 57,944,204,263.04
  5. Step 5: Solve for x
    x = 57,944,204,263.04/278,234.34
  6. Step 6: Final answer
    x = 208,256.84

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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.