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Finding the Fourth Proportional to 278,248.54, 383,983.65 and 150,924.13

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Solution

The fourth proportional to 278,248.54, 383,983.65 and 150,924.13 is: 208,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,248.54 : 383,983.65 = 150,924.13 : x
  2. Step 2: Convert to fraction form
    278,248.54/383,983.65 = 150,924.13/x
  3. Step 3: Cross multiply
    278,248.54x = 383,983.65 × 150,924.13
  4. Step 4: Simplify right side
    278,248.54x = 57,952,398,310.47
  5. Step 5: Solve for x
    x = 57,952,398,310.47/278,248.54
  6. Step 6: Final answer
    x = 208,275.66

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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.