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Finding the Fourth Proportional to 295,714.91, 408,086.19 and 159,748.80

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Solution

The fourth proportional to 295,714.91, 408,086.19 and 159,748.80 is: 220,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,714.91 : 408,086.19 = 159,748.80 : x
  2. Step 2: Convert to fraction form
    295,714.91/408,086.19 = 159,748.80/x
  3. Step 3: Cross multiply
    295,714.91x = 408,086.19 × 159,748.80
  4. Step 4: Simplify right side
    295,714.91x = 65,191,279,149.07
  5. Step 5: Solve for x
    x = 65,191,279,149.07/295,714.91
  6. Step 6: Final answer
    x = 220,453.14

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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.