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Finding the Fourth Proportional to 195,736.80, 293,086.80 and 154,264.80

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Solution

The fourth proportional to 195,736.80, 293,086.80 and 154,264.80 is: 230,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,736.80 : 293,086.80 = 154,264.80 : x
  2. Step 2: Convert to fraction form
    195,736.80/293,086.80 = 154,264.80/x
  3. Step 3: Cross multiply
    195,736.80x = 293,086.80 × 154,264.80
  4. Step 4: Simplify right side
    195,736.80x = 45,212,976,584.64
  5. Step 5: Solve for x
    x = 45,212,976,584.64/195,736.80
  6. Step 6: Final answer
    x = 230,988.64

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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.