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Finding the Fourth Proportional to 128,876.24, 193,217.16 and 84,514.16

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Solution

The fourth proportional to 128,876.24, 193,217.16 and 84,514.16 is: 126,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,876.24 : 193,217.16 = 84,514.16 : x
  2. Step 2: Convert to fraction form
    128,876.24/193,217.16 = 84,514.16/x
  3. Step 3: Cross multiply
    128,876.24x = 193,217.16 × 84,514.16
  4. Step 4: Simplify right side
    128,876.24x = 16,329,585,974.99
  5. Step 5: Solve for x
    x = 16,329,585,974.99/128,876.24
  6. Step 6: Final answer
    x = 126,707.50

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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.