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Finding the Fourth Proportional to 103,410.40, 154,856.40 and 68,159.20

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Solution

The fourth proportional to 103,410.40, 154,856.40 and 68,159.20 is: 102,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410.40 : 154,856.40 = 68,159.20 : x
  2. Step 2: Convert to fraction form
    103,410.40/154,856.40 = 68,159.20/x
  3. Step 3: Cross multiply
    103,410.40x = 154,856.40 × 68,159.20
  4. Step 4: Simplify right side
    103,410.40x = 10,554,888,338.88
  5. Step 5: Solve for x
    x = 10,554,888,338.88/103,410.40
  6. Step 6: Final answer
    x = 102,067.96

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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.