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Finding the Fourth Proportional to 427,693.13, 641,514.78 and 112,149.93

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Solution

The fourth proportional to 427,693.13, 641,514.78 and 112,149.93 is: 168,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,693.13 : 641,514.78 = 112,149.93 : x
  2. Step 2: Convert to fraction form
    427,693.13/641,514.78 = 112,149.93/x
  3. Step 3: Cross multiply
    427,693.13x = 641,514.78 × 112,149.93
  4. Step 4: Simplify right side
    427,693.13x = 71,945,837,670.97
  5. Step 5: Solve for x
    x = 71,945,837,670.97/427,693.13
  6. Step 6: Final answer
    x = 168,218.36

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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.