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Finding the Fourth Proportional to 202,540.97, 279,501.14 and 111,882.32

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Solution

The fourth proportional to 202,540.97, 279,501.14 and 111,882.32 is: 154,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.97 : 279,501.14 = 111,882.32 : x
  2. Step 2: Convert to fraction form
    202,540.97/279,501.14 = 111,882.32/x
  3. Step 3: Cross multiply
    202,540.97x = 279,501.14 × 111,882.32
  4. Step 4: Simplify right side
    202,540.97x = 31,271,235,426.43
  5. Step 5: Solve for x
    x = 31,271,235,426.43/202,540.97
  6. Step 6: Final answer
    x = 154,394.62

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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.