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Finding the Fourth Proportional to 239,012.86, 329,843.14 and 135,653.88

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Solution

The fourth proportional to 239,012.86, 329,843.14 and 135,653.88 is: 187,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,012.86 : 329,843.14 = 135,653.88 : x
  2. Step 2: Convert to fraction form
    239,012.86/329,843.14 = 135,653.88/x
  3. Step 3: Cross multiply
    239,012.86x = 329,843.14 × 135,653.88
  4. Step 4: Simplify right side
    239,012.86x = 44,744,501,732.38
  5. Step 5: Solve for x
    x = 44,744,501,732.38/239,012.86
  6. Step 6: Final answer
    x = 187,205.42

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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.