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Finding the Fourth Proportional to 206,998.84, 310,498.22 and 88,593.40

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Solution

The fourth proportional to 206,998.84, 310,498.22 and 88,593.40 is: 132,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998.84 : 310,498.22 = 88,593.40 : x
  2. Step 2: Convert to fraction form
    206,998.84/310,498.22 = 88,593.40/x
  3. Step 3: Cross multiply
    206,998.84x = 310,498.22 × 88,593.40
  4. Step 4: Simplify right side
    206,998.84x = 27,508,093,003.75
  5. Step 5: Solve for x
    x = 27,508,093,003.75/206,998.84
  6. Step 6: Final answer
    x = 132,890.08

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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.