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Finding the Fourth Proportional to 185,150.68, 277,354.14 and 85,171.84

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Solution

The fourth proportional to 185,150.68, 277,354.14 and 85,171.84 is: 127,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,150.68 : 277,354.14 = 85,171.84 : x
  2. Step 2: Convert to fraction form
    185,150.68/277,354.14 = 85,171.84/x
  3. Step 3: Cross multiply
    185,150.68x = 277,354.14 × 85,171.84
  4. Step 4: Simplify right side
    185,150.68x = 23,622,762,435.42
  5. Step 5: Solve for x
    x = 23,622,762,435.42/185,150.68
  6. Step 6: Final answer
    x = 127,586.69

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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.