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Finding the Fourth Proportional to 103,094.24, 154,546.20 and 71,519.20

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Solution

The fourth proportional to 103,094.24, 154,546.20 and 71,519.20 is: 107,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,094.24 : 154,546.20 = 71,519.20 : x
  2. Step 2: Convert to fraction form
    103,094.24/154,546.20 = 71,519.20/x
  3. Step 3: Cross multiply
    103,094.24x = 154,546.20 × 71,519.20
  4. Step 4: Simplify right side
    103,094.24x = 11,053,020,587.04
  5. Step 5: Solve for x
    x = 11,053,020,587.04/103,094.24
  6. Step 6: Final answer
    x = 107,212.78

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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.