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Finding the Fourth Proportional to 103,731.90, 155,338.65 and 82,995.90

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Solution

The fourth proportional to 103,731.90, 155,338.65 and 82,995.90 is: 124,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,731.90 : 155,338.65 = 82,995.90 : x
  2. Step 2: Convert to fraction form
    103,731.90/155,338.65 = 82,995.90/x
  3. Step 3: Cross multiply
    103,731.90x = 155,338.65 × 82,995.90
  4. Step 4: Simplify right side
    103,731.90x = 12,892,471,061.54
  5. Step 5: Solve for x
    x = 12,892,471,061.54/103,731.90
  6. Step 6: Final answer
    x = 124,286.46

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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.