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Finding the Fourth Proportional to 121,839.80, 182,759.70 and 102,594.20

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Solution

The fourth proportional to 121,839.80, 182,759.70 and 102,594.20 is: 153,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,839.80 : 182,759.70 = 102,594.20 : x
  2. Step 2: Convert to fraction form
    121,839.80/182,759.70 = 102,594.20/x
  3. Step 3: Cross multiply
    121,839.80x = 182,759.70 × 102,594.20
  4. Step 4: Simplify right side
    121,839.80x = 18,750,085,213.74
  5. Step 5: Solve for x
    x = 18,750,085,213.74/121,839.80
  6. Step 6: Final answer
    x = 153,891.30

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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.