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Finding the Fourth Proportional to 181,188.42, 271,741.32 and 68,881.11

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Solution

The fourth proportional to 181,188.42, 271,741.32 and 68,881.11 is: 103,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,188.42 : 271,741.32 = 68,881.11 : x
  2. Step 2: Convert to fraction form
    181,188.42/271,741.32 = 68,881.11/x
  3. Step 3: Cross multiply
    181,188.42x = 271,741.32 × 68,881.11
  4. Step 4: Simplify right side
    181,188.42x = 18,717,843,754.47
  5. Step 5: Solve for x
    x = 18,717,843,754.47/181,188.42
  6. Step 6: Final answer
    x = 103,305.96

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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.