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Finding the Fourth Proportional to 296,062.80, 408,565.80 and 160,096.26

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Solution

The fourth proportional to 296,062.80, 408,565.80 and 160,096.26 is: 220,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,062.80 : 408,565.80 = 160,096.26 : x
  2. Step 2: Convert to fraction form
    296,062.80/408,565.80 = 160,096.26/x
  3. Step 3: Cross multiply
    296,062.80x = 408,565.80 × 160,096.26
  4. Step 4: Simplify right side
    296,062.80x = 65,409,856,543.91
  5. Step 5: Solve for x
    x = 65,409,856,543.91/296,062.80
  6. Step 6: Final answer
    x = 220,932.37

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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.