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Finding the Fourth Proportional to 227,564.50, 341,241.16 and 132,821.95

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Solution

The fourth proportional to 227,564.50, 341,241.16 and 132,821.95 is: 199,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,564.50 : 341,241.16 = 132,821.95 : x
  2. Step 2: Convert to fraction form
    227,564.50/341,241.16 = 132,821.95/x
  3. Step 3: Cross multiply
    227,564.50x = 341,241.16 × 132,821.95
  4. Step 4: Simplify right side
    227,564.50x = 45,324,316,291.46
  5. Step 5: Solve for x
    x = 45,324,316,291.46/227,564.50
  6. Step 6: Final answer
    x = 199,171.30

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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.