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Finding the Fourth Proportional to 239,872, 331,028.16 and 132,442.24

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Solution

The fourth proportional to 239,872, 331,028.16 and 132,442.24 is: 182,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,872 : 331,028.16 = 132,442.24 : x
  2. Step 2: Convert to fraction form
    239,872/331,028.16 = 132,442.24/x
  3. Step 3: Cross multiply
    239,872x = 331,028.16 × 132,442.24
  4. Step 4: Simplify right side
    239,872x = 43,842,111,013.48
  5. Step 5: Solve for x
    x = 43,842,111,013.48/239,872
  6. Step 6: Final answer
    x = 182,772.94

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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.