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Finding the Fourth Proportional to 136,472.30, 204,514.05 and 100,654.10

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Solution

The fourth proportional to 136,472.30, 204,514.05 and 100,654.10 is: 150,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,472.30 : 204,514.05 = 100,654.10 : x
  2. Step 2: Convert to fraction form
    136,472.30/204,514.05 = 100,654.10/x
  3. Step 3: Cross multiply
    136,472.30x = 204,514.05 × 100,654.10
  4. Step 4: Simplify right side
    136,472.30x = 20,585,177,640.11
  5. Step 5: Solve for x
    x = 20,585,177,640.11/136,472.30
  6. Step 6: Final answer
    x = 150,837.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.