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Finding the Fourth Proportional to 278,179.56, 383,884.16 and 150,854.48

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Solution

The fourth proportional to 278,179.56, 383,884.16 and 150,854.48 is: 208,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,179.56 : 383,884.16 = 150,854.48 : x
  2. Step 2: Convert to fraction form
    278,179.56/383,884.16 = 150,854.48/x
  3. Step 3: Cross multiply
    278,179.56x = 383,884.16 × 150,854.48
  4. Step 4: Simplify right side
    278,179.56x = 57,910,645,337.04
  5. Step 5: Solve for x
    x = 57,910,645,337.04/278,179.56
  6. Step 6: Final answer
    x = 208,177.21

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1.5x scale

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.