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Finding the Fourth Proportional to 181,177.44, 271,741.64 and 68,886

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Solution

The fourth proportional to 181,177.44, 271,741.64 and 68,886 is: 103,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,177.44 : 271,741.64 = 68,886 : x
  2. Step 2: Convert to fraction form
    181,177.44/271,741.64 = 68,886/x
  3. Step 3: Cross multiply
    181,177.44x = 271,741.64 × 68,886
  4. Step 4: Simplify right side
    181,177.44x = 18,719,194,613.04
  5. Step 5: Solve for x
    x = 18,719,194,613.04/181,177.44
  6. Step 6: Final answer
    x = 103,319.68

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