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Finding the Fourth Proportional to 82,361.70, 123,542.55 and 73,176.30

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Solution

The fourth proportional to 82,361.70, 123,542.55 and 73,176.30 is: 109,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,361.70 : 123,542.55 = 73,176.30 : x
  2. Step 2: Convert to fraction form
    82,361.70/123,542.55 = 73,176.30/x
  3. Step 3: Cross multiply
    82,361.70x = 123,542.55 × 73,176.30
  4. Step 4: Simplify right side
    82,361.70x = 9,040,386,701.57
  5. Step 5: Solve for x
    x = 9,040,386,701.57/82,361.70
  6. Step 6: Final answer
    x = 109,764.45

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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.