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Finding the Fourth Proportional to 104,589.39, 144,284.06 and 75,846

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Solution

The fourth proportional to 104,589.39, 144,284.06 and 75,846 is: 104,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,589.39 : 144,284.06 = 75,846 : x
  2. Step 2: Convert to fraction form
    104,589.39/144,284.06 = 75,846/x
  3. Step 3: Cross multiply
    104,589.39x = 144,284.06 × 75,846
  4. Step 4: Simplify right side
    104,589.39x = 10,943,368,435.53
  5. Step 5: Solve for x
    x = 10,943,368,435.53/104,589.39
  6. Step 6: Final answer
    x = 104,631.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.