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Finding the Fourth Proportional to 129,884.10, 194,826.15 and 103,640.10

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Solution

The fourth proportional to 129,884.10, 194,826.15 and 103,640.10 is: 155,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,884.10 : 194,826.15 = 103,640.10 : x
  2. Step 2: Convert to fraction form
    129,884.10/194,826.15 = 103,640.10/x
  3. Step 3: Cross multiply
    129,884.10x = 194,826.15 × 103,640.10
  4. Step 4: Simplify right side
    129,884.10x = 20,191,801,668.62
  5. Step 5: Solve for x
    x = 20,191,801,668.62/129,884.10
  6. Step 6: Final answer
    x = 155,460.15

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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.