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Finding the Fourth Proportional to 239,523.28, 359,362.68 and 114,874

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Solution

The fourth proportional to 239,523.28, 359,362.68 and 114,874 is: 172,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,523.28 : 359,362.68 = 114,874 : x
  2. Step 2: Convert to fraction form
    239,523.28/359,362.68 = 114,874/x
  3. Step 3: Cross multiply
    239,523.28x = 359,362.68 × 114,874
  4. Step 4: Simplify right side
    239,523.28x = 41,281,428,502.32
  5. Step 5: Solve for x
    x = 41,281,428,502.32/239,523.28
  6. Step 6: Final answer
    x = 172,348.29

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Why These Related Problems?

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