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Finding the Fourth Proportional to 411,199.92, 616,793.40 and 130,713.12

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Solution

The fourth proportional to 411,199.92, 616,793.40 and 130,713.12 is: 196,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,199.92 : 616,793.40 = 130,713.12 : x
  2. Step 2: Convert to fraction form
    411,199.92/616,793.40 = 130,713.12/x
  3. Step 3: Cross multiply
    411,199.92x = 616,793.40 × 130,713.12
  4. Step 4: Simplify right side
    411,199.92x = 80,622,989,709.41
  5. Step 5: Solve for x
    x = 80,622,989,709.41/411,199.92
  6. Step 6: Final answer
    x = 196,067.62

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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.