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Finding the Fourth Proportional to 206,587.82, 310,012.81 and 88,260.05

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Solution

The fourth proportional to 206,587.82, 310,012.81 and 88,260.05 is: 132,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,587.82 : 310,012.81 = 88,260.05 : x
  2. Step 2: Convert to fraction form
    206,587.82/310,012.81 = 88,260.05/x
  3. Step 3: Cross multiply
    206,587.82x = 310,012.81 × 88,260.05
  4. Step 4: Simplify right side
    206,587.82x = 27,361,744,561.18
  5. Step 5: Solve for x
    x = 27,361,744,561.18/206,587.82
  6. Step 6: Final answer
    x = 132,446.07

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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.