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Finding the Fourth Proportional to 129,871.13, 194,826.17 and 45,616.44

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Solution

The fourth proportional to 129,871.13, 194,826.17 and 45,616.44 is: 68,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871.13 : 194,826.17 = 45,616.44 : x
  2. Step 2: Convert to fraction form
    129,871.13/194,826.17 = 45,616.44/x
  3. Step 3: Cross multiply
    129,871.13x = 194,826.17 × 45,616.44
  4. Step 4: Simplify right side
    129,871.13x = 8,887,276,294.23
  5. Step 5: Solve for x
    x = 8,887,276,294.23/129,871.13
  6. Step 6: Final answer
    x = 68,431.50

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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.