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Finding the Fourth Proportional to 129,364.10, 194,046.15 and 97,871.30

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Solution

The fourth proportional to 129,364.10, 194,046.15 and 97,871.30 is: 146,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,364.10 : 194,046.15 = 97,871.30 : x
  2. Step 2: Convert to fraction form
    129,364.10/194,046.15 = 97,871.30/x
  3. Step 3: Cross multiply
    129,364.10x = 194,046.15 × 97,871.30
  4. Step 4: Simplify right side
    129,364.10x = 18,991,548,960.50
  5. Step 5: Solve for x
    x = 18,991,548,960.50/129,364.10
  6. Step 6: Final answer
    x = 146,806.95

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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.