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Finding the Fourth Proportional to 206,738.48, 310,101.24 and 58,994.48

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Solution

The fourth proportional to 206,738.48, 310,101.24 and 58,994.48 is: 88,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,738.48 : 310,101.24 = 58,994.48 : x
  2. Step 2: Convert to fraction form
    206,738.48/310,101.24 = 58,994.48/x
  3. Step 3: Cross multiply
    206,738.48x = 310,101.24 × 58,994.48
  4. Step 4: Simplify right side
    206,738.48x = 18,294,261,401.16
  5. Step 5: Solve for x
    x = 18,294,261,401.16/206,738.48
  6. Step 6: Final answer
    x = 88,489.87

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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.