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Finding the Fourth Proportional to 129,193.91, 193,707.50 and 61,689.41

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Solution

The fourth proportional to 129,193.91, 193,707.50 and 61,689.41 is: 92,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,193.91 : 193,707.50 = 61,689.41 : x
  2. Step 2: Convert to fraction form
    129,193.91/193,707.50 = 61,689.41/x
  3. Step 3: Cross multiply
    129,193.91x = 193,707.50 × 61,689.41
  4. Step 4: Simplify right side
    129,193.91x = 11,949,700,110.59
  5. Step 5: Solve for x
    x = 11,949,700,110.59/129,193.91
  6. Step 6: Final answer
    x = 92,494.30

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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.