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Finding the Fourth Proportional to 206,422.30, 288,641.30 and 206,422.30

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Solution

The fourth proportional to 206,422.30, 288,641.30 and 206,422.30 is: 288,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.30 : 288,641.30 = 206,422.30 : x
  2. Step 2: Convert to fraction form
    206,422.30/288,641.30 = 206,422.30/x
  3. Step 3: Cross multiply
    206,422.30x = 288,641.30 × 206,422.30
  4. Step 4: Simplify right side
    206,422.30x = 59,582,001,020.99
  5. Step 5: Solve for x
    x = 59,582,001,020.99/206,422.30
  6. Step 6: Final answer
    x = 288,641.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.