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Finding the Fourth Proportional to 181,295.13, 271,849.32 and 81,369.66

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Solution

The fourth proportional to 181,295.13, 271,849.32 and 81,369.66 is: 122,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,295.13 : 271,849.32 = 81,369.66 : x
  2. Step 2: Convert to fraction form
    181,295.13/271,849.32 = 81,369.66/x
  3. Step 3: Cross multiply
    181,295.13x = 271,849.32 × 81,369.66
  4. Step 4: Simplify right side
    181,295.13x = 22,120,286,739.63
  5. Step 5: Solve for x
    x = 22,120,286,739.63/181,295.13
  6. Step 6: Final answer
    x = 122,012.58

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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.