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Finding the Fourth Proportional to 82,309.70, 123,464.55 and 73,124.30

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Solution

The fourth proportional to 82,309.70, 123,464.55 and 73,124.30 is: 109,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,309.70 : 123,464.55 = 73,124.30 : x
  2. Step 2: Convert to fraction form
    82,309.70/123,464.55 = 73,124.30/x
  3. Step 3: Cross multiply
    82,309.70x = 123,464.55 × 73,124.30
  4. Step 4: Simplify right side
    82,309.70x = 9,028,258,793.57
  5. Step 5: Solve for x
    x = 9,028,258,793.57/82,309.70
  6. Step 6: Final answer
    x = 109,686.45

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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.