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Finding the Fourth Proportional to 103,241.39, 154,843.56 and 27,340.40

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Solution

The fourth proportional to 103,241.39, 154,843.56 and 27,340.40 is: 41,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,241.39 : 154,843.56 = 27,340.40 : x
  2. Step 2: Convert to fraction form
    103,241.39/154,843.56 = 27,340.40/x
  3. Step 3: Cross multiply
    103,241.39x = 154,843.56 × 27,340.40
  4. Step 4: Simplify right side
    103,241.39x = 4,233,485,254.93
  5. Step 5: Solve for x
    x = 4,233,485,254.93/103,241.39
  6. Step 6: Final answer
    x = 41,005.70

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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.