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Finding the Fourth Proportional to 169,471.27, 233,891.11 and 97,851.14

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Solution

The fourth proportional to 169,471.27, 233,891.11 and 97,851.14 is: 135,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,471.27 : 233,891.11 = 97,851.14 : x
  2. Step 2: Convert to fraction form
    169,471.27/233,891.11 = 97,851.14/x
  3. Step 3: Cross multiply
    169,471.27x = 233,891.11 × 97,851.14
  4. Step 4: Simplify right side
    169,471.27x = 22,886,511,579.32
  5. Step 5: Solve for x
    x = 22,886,511,579.32/169,471.27
  6. Step 6: Final answer
    x = 135,046.56

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Why These Related Problems?

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