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Finding the Fourth Proportional to 206,922.74, 310,405.97 and 88,562.30

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Solution

The fourth proportional to 206,922.74, 310,405.97 and 88,562.30 is: 132,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,922.74 : 310,405.97 = 88,562.30 : x
  2. Step 2: Convert to fraction form
    206,922.74/310,405.97 = 88,562.30/x
  3. Step 3: Cross multiply
    206,922.74x = 310,405.97 × 88,562.30
  4. Step 4: Simplify right side
    206,922.74x = 27,490,265,306.31
  5. Step 5: Solve for x
    x = 27,490,265,306.31/206,922.74
  6. Step 6: Final answer
    x = 132,852.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.