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Finding the Fourth Proportional to 103,215.20, 154,844.40 and 33,101.60

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Solution

The fourth proportional to 103,215.20, 154,844.40 and 33,101.60 is: 49,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,215.20 : 154,844.40 = 33,101.60 : x
  2. Step 2: Convert to fraction form
    103,215.20/154,844.40 = 33,101.60/x
  3. Step 3: Cross multiply
    103,215.20x = 154,844.40 × 33,101.60
  4. Step 4: Simplify right side
    103,215.20x = 5,125,597,391.04
  5. Step 5: Solve for x
    x = 5,125,597,391.04/103,215.20
  6. Step 6: Final answer
    x = 49,659.33

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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.