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Finding the Fourth Proportional to 206,059.74, 309,195.16 and 98,111.26

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Solution

The fourth proportional to 206,059.74, 309,195.16 and 98,111.26 is: 147,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,059.74 : 309,195.16 = 98,111.26 : x
  2. Step 2: Convert to fraction form
    206,059.74/309,195.16 = 98,111.26/x
  3. Step 3: Cross multiply
    206,059.74x = 309,195.16 × 98,111.26
  4. Step 4: Simplify right side
    206,059.74x = 30,335,526,733.50
  5. Step 5: Solve for x
    x = 30,335,526,733.50/206,059.74
  6. Step 6: Final answer
    x = 147,217.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.