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Finding the Fourth Proportional to 181,142.80, 271,791.12 and 96,881.12

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Solution

The fourth proportional to 181,142.80, 271,791.12 and 96,881.12 is: 145,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,142.80 : 271,791.12 = 96,881.12 : x
  2. Step 2: Convert to fraction form
    181,142.80/271,791.12 = 96,881.12/x
  3. Step 3: Cross multiply
    181,142.80x = 271,791.12 × 96,881.12
  4. Step 4: Simplify right side
    181,142.80x = 26,331,428,111.65
  5. Step 5: Solve for x
    x = 26,331,428,111.65/181,142.80
  6. Step 6: Final answer
    x = 145,362.82

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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.