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Finding the Fourth Proportional to 188,909.40, 260,694.54 and 102,867

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Solution

The fourth proportional to 188,909.40, 260,694.54 and 102,867 is: 141,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,909.40 : 260,694.54 = 102,867 : x
  2. Step 2: Convert to fraction form
    188,909.40/260,694.54 = 102,867/x
  3. Step 3: Cross multiply
    188,909.40x = 260,694.54 × 102,867
  4. Step 4: Simplify right side
    188,909.40x = 26,816,865,246.18
  5. Step 5: Solve for x
    x = 26,816,865,246.18/188,909.40
  6. Step 6: Final answer
    x = 141,956.22

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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.