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Finding the Fourth Proportional to 296,098.88, 408,617.68 and 160,132.83

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Solution

The fourth proportional to 296,098.88, 408,617.68 and 160,132.83 is: 220,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,098.88 : 408,617.68 = 160,132.83 : x
  2. Step 2: Convert to fraction form
    296,098.88/408,617.68 = 160,132.83/x
  3. Step 3: Cross multiply
    296,098.88x = 408,617.68 × 160,132.83
  4. Step 4: Simplify right side
    296,098.88x = 65,433,105,086.10
  5. Step 5: Solve for x
    x = 65,433,105,086.10/296,098.88
  6. Step 6: Final answer
    x = 220,983.96

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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.