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Finding the Fourth Proportional to 181,344.76, 271,850.34 and 97,162.84

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Solution

The fourth proportional to 181,344.76, 271,850.34 and 97,162.84 is: 145,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344.76 : 271,850.34 = 97,162.84 : x
  2. Step 2: Convert to fraction form
    181,344.76/271,850.34 = 97,162.84/x
  3. Step 3: Cross multiply
    181,344.76x = 271,850.34 × 97,162.84
  4. Step 4: Simplify right side
    181,344.76x = 26,413,751,089.37
  5. Step 5: Solve for x
    x = 26,413,751,089.37/181,344.76
  6. Step 6: Final answer
    x = 145,654.89

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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.