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Finding the Fourth Proportional to 136,592.34, 204,839.30 and 57,712.73

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Solution

The fourth proportional to 136,592.34, 204,839.30 and 57,712.73 is: 86,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,592.34 : 204,839.30 = 57,712.73 : x
  2. Step 2: Convert to fraction form
    136,592.34/204,839.30 = 57,712.73/x
  3. Step 3: Cross multiply
    136,592.34x = 204,839.30 × 57,712.73
  4. Step 4: Simplify right side
    136,592.34x = 11,821,833,901.53
  5. Step 5: Solve for x
    x = 11,821,833,901.53/136,592.34
  6. Step 6: Final answer
    x = 86,548.29

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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.