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Finding the Fourth Proportional to 107,154.48, 160,640.96 and 65,514

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Solution

The fourth proportional to 107,154.48, 160,640.96 and 65,514 is: 98,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,154.48 : 160,640.96 = 65,514 : x
  2. Step 2: Convert to fraction form
    107,154.48/160,640.96 = 65,514/x
  3. Step 3: Cross multiply
    107,154.48x = 160,640.96 × 65,514
  4. Step 4: Simplify right side
    107,154.48x = 10,524,231,853.44
  5. Step 5: Solve for x
    x = 10,524,231,853.44/107,154.48
  6. Step 6: Final answer
    x = 98,215.51

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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.