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Finding the Fourth Proportional to 278,170.92, 383,875.56 and 150,845.88

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Solution

The fourth proportional to 278,170.92, 383,875.56 and 150,845.88 is: 208,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,170.92 : 383,875.56 = 150,845.88 : x
  2. Step 2: Convert to fraction form
    278,170.92/383,875.56 = 150,845.88/x
  3. Step 3: Cross multiply
    278,170.92x = 383,875.56 × 150,845.88
  4. Step 4: Simplify right side
    278,170.92x = 57,906,046,658.69
  5. Step 5: Solve for x
    x = 57,906,046,658.69/278,170.92
  6. Step 6: Final answer
    x = 208,167.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.