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Finding the Fourth Proportional to 103,214.10, 155,171.10 and 82,419.78

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Solution

The fourth proportional to 103,214.10, 155,171.10 and 82,419.78 is: 123,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.10 : 155,171.10 = 82,419.78 : x
  2. Step 2: Convert to fraction form
    103,214.10/155,171.10 = 82,419.78/x
  3. Step 3: Cross multiply
    103,214.10x = 155,171.10 × 82,419.78
  4. Step 4: Simplify right side
    103,214.10x = 12,789,167,924.36
  5. Step 5: Solve for x
    x = 12,789,167,924.36/103,214.10
  6. Step 6: Final answer
    x = 123,909.12

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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.