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Finding the Fourth Proportional to 252,706.34, 378,932.75 and 84,167.42

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Solution

The fourth proportional to 252,706.34, 378,932.75 and 84,167.42 is: 126,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,706.34 : 378,932.75 = 84,167.42 : x
  2. Step 2: Convert to fraction form
    252,706.34/378,932.75 = 84,167.42/x
  3. Step 3: Cross multiply
    252,706.34x = 378,932.75 × 84,167.42
  4. Step 4: Simplify right side
    252,706.34x = 31,893,791,921.01
  5. Step 5: Solve for x
    x = 31,893,791,921.01/252,706.34
  6. Step 6: Final answer
    x = 126,208.91

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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.