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Finding the Fourth Proportional to 105,504.89, 145,613.65 and 60,197.61

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Solution

The fourth proportional to 105,504.89, 145,613.65 and 60,197.61 is: 83,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,504.89 : 145,613.65 = 60,197.61 : x
  2. Step 2: Convert to fraction form
    105,504.89/145,613.65 = 60,197.61/x
  3. Step 3: Cross multiply
    105,504.89x = 145,613.65 × 60,197.61
  4. Step 4: Simplify right side
    105,504.89x = 8,765,593,713.38
  5. Step 5: Solve for x
    x = 8,765,593,713.38/105,504.89
  6. Step 6: Final answer
    x = 83,082.35

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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.