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Finding the Fourth Proportional to 206,449.47, 284,959.23 and 121,615.47

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Solution

The fourth proportional to 206,449.47, 284,959.23 and 121,615.47 is: 167,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,449.47 : 284,959.23 = 121,615.47 : x
  2. Step 2: Convert to fraction form
    206,449.47/284,959.23 = 121,615.47/x
  3. Step 3: Cross multiply
    206,449.47x = 284,959.23 × 121,615.47
  4. Step 4: Simplify right side
    206,449.47x = 34,655,450,687.29
  5. Step 5: Solve for x
    x = 34,655,450,687.29/206,449.47
  6. Step 6: Final answer
    x = 167,864.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.