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Finding the Fourth Proportional to 181,132.89, 271,063.68 and 145,506.66

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Solution

The fourth proportional to 181,132.89, 271,063.68 and 145,506.66 is: 217,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,132.89 : 271,063.68 = 145,506.66 : x
  2. Step 2: Convert to fraction form
    181,132.89/271,063.68 = 145,506.66/x
  3. Step 3: Cross multiply
    181,132.89x = 271,063.68 × 145,506.66
  4. Step 4: Simplify right side
    181,132.89x = 39,441,570,724.11
  5. Step 5: Solve for x
    x = 39,441,570,724.11/181,132.89
  6. Step 6: Final answer
    x = 217,749.36

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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.