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Finding the Fourth Proportional to 137,447.88, 206,211.78 and 57,523.56

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Solution

The fourth proportional to 137,447.88, 206,211.78 and 57,523.56 is: 86,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,447.88 : 206,211.78 = 57,523.56 : x
  2. Step 2: Convert to fraction form
    137,447.88/206,211.78 = 57,523.56/x
  3. Step 3: Cross multiply
    137,447.88x = 206,211.78 × 57,523.56
  4. Step 4: Simplify right side
    137,447.88x = 11,862,035,699.54
  5. Step 5: Solve for x
    x = 11,862,035,699.54/137,447.88
  6. Step 6: Final answer
    x = 86,302.06

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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.