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Finding the Fourth Proportional to 103,902.44, 155,814.78 and 81,974.12

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Solution

The fourth proportional to 103,902.44, 155,814.78 and 81,974.12 is: 122,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,902.44 : 155,814.78 = 81,974.12 : x
  2. Step 2: Convert to fraction form
    103,902.44/155,814.78 = 81,974.12/x
  3. Step 3: Cross multiply
    103,902.44x = 155,814.78 × 81,974.12
  4. Step 4: Simplify right side
    103,902.44x = 12,772,779,473.49
  5. Step 5: Solve for x
    x = 12,772,779,473.49/103,902.44
  6. Step 6: Final answer
    x = 122,930.51

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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.