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Finding the Fourth Proportional to 181,194.30, 271,791.45 and 164,864.70

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Solution

The fourth proportional to 181,194.30, 271,791.45 and 164,864.70 is: 247,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,194.30 : 271,791.45 = 164,864.70 : x
  2. Step 2: Convert to fraction form
    181,194.30/271,791.45 = 164,864.70/x
  3. Step 3: Cross multiply
    181,194.30x = 271,791.45 × 164,864.70
  4. Step 4: Simplify right side
    181,194.30x = 44,808,815,866.82
  5. Step 5: Solve for x
    x = 44,808,815,866.82/181,194.30
  6. Step 6: Final answer
    x = 247,297.05

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Why These Related Problems?

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