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Finding the Fourth Proportional to 181,165.86, 271,661.04 and 75,956.58

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Solution

The fourth proportional to 181,165.86, 271,661.04 and 75,956.58 is: 113,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,165.86 : 271,661.04 = 75,956.58 : x
  2. Step 2: Convert to fraction form
    181,165.86/271,661.04 = 75,956.58/x
  3. Step 3: Cross multiply
    181,165.86x = 271,661.04 × 75,956.58
  4. Step 4: Simplify right side
    181,165.86x = 20,634,443,517.64
  5. Step 5: Solve for x
    x = 20,634,443,517.64/181,165.86
  6. Step 6: Final answer
    x = 113,898.08

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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.