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Finding the Fourth Proportional to 129,304.68, 193,949.14 and 61,884.64

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Solution

The fourth proportional to 129,304.68, 193,949.14 and 61,884.64 is: 92,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,304.68 : 193,949.14 = 61,884.64 : x
  2. Step 2: Convert to fraction form
    129,304.68/193,949.14 = 61,884.64/x
  3. Step 3: Cross multiply
    129,304.68x = 193,949.14 × 61,884.64
  4. Step 4: Simplify right side
    129,304.68x = 12,002,472,707.21
  5. Step 5: Solve for x
    x = 12,002,472,707.21/129,304.68
  6. Step 6: Final answer
    x = 92,823.19

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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.