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Finding the Fourth Proportional to 82,172.20, 123,098.40 and 54,007.30

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Solution

The fourth proportional to 82,172.20, 123,098.40 and 54,007.30 is: 80,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172.20 : 123,098.40 = 54,007.30 : x
  2. Step 2: Convert to fraction form
    82,172.20/123,098.40 = 54,007.30/x
  3. Step 3: Cross multiply
    82,172.20x = 123,098.40 × 54,007.30
  4. Step 4: Simplify right side
    82,172.20x = 6,648,212,218.32
  5. Step 5: Solve for x
    x = 6,648,212,218.32/82,172.20
  6. Step 6: Final answer
    x = 80,905.86

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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.