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Finding the Fourth Proportional to 213,882.66, 320,759.19 and 89,194.50

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Solution

The fourth proportional to 213,882.66, 320,759.19 and 89,194.50 is: 133,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882.66 : 320,759.19 = 89,194.50 : x
  2. Step 2: Convert to fraction form
    213,882.66/320,759.19 = 89,194.50/x
  3. Step 3: Cross multiply
    213,882.66x = 320,759.19 × 89,194.50
  4. Step 4: Simplify right side
    213,882.66x = 28,609,955,572.46
  5. Step 5: Solve for x
    x = 28,609,955,572.46/213,882.66
  6. Step 6: Final answer
    x = 133,764.73

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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.