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Finding the Fourth Proportional to 411,181.92, 616,766.40 and 130,695.12

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Solution

The fourth proportional to 411,181.92, 616,766.40 and 130,695.12 is: 196,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,181.92 : 616,766.40 = 130,695.12 : x
  2. Step 2: Convert to fraction form
    411,181.92/616,766.40 = 130,695.12/x
  3. Step 3: Cross multiply
    411,181.92x = 616,766.40 × 130,695.12
  4. Step 4: Simplify right side
    411,181.92x = 80,608,358,659.97
  5. Step 5: Solve for x
    x = 80,608,358,659.97/411,181.92
  6. Step 6: Final answer
    x = 196,040.62

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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.