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Finding the Fourth Proportional to 216,446.28, 298,691.45 and 119,654.22

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Solution

The fourth proportional to 216,446.28, 298,691.45 and 119,654.22 is: 165,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,446.28 : 298,691.45 = 119,654.22 : x
  2. Step 2: Convert to fraction form
    216,446.28/298,691.45 = 119,654.22/x
  3. Step 3: Cross multiply
    216,446.28x = 298,691.45 × 119,654.22
  4. Step 4: Simplify right side
    216,446.28x = 35,739,692,470.42
  5. Step 5: Solve for x
    x = 35,739,692,470.42/216,446.28
  6. Step 6: Final answer
    x = 165,120.38

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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.