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Finding the Fourth Proportional to 116,494.43, 160,669.85 and 75,613.86

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Solution

The fourth proportional to 116,494.43, 160,669.85 and 75,613.86 is: 104,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,494.43 : 160,669.85 = 75,613.86 : x
  2. Step 2: Convert to fraction form
    116,494.43/160,669.85 = 75,613.86/x
  3. Step 3: Cross multiply
    116,494.43x = 160,669.85 × 75,613.86
  4. Step 4: Simplify right side
    116,494.43x = 12,148,867,166.05
  5. Step 5: Solve for x
    x = 12,148,867,166.05/116,494.43
  6. Step 6: Final answer
    x = 104,287.11

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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.