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Finding the Fourth Proportional to 193,706.32, 290,559.48 and 68,959.84

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Solution

The fourth proportional to 193,706.32, 290,559.48 and 68,959.84 is: 103,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,706.32 : 290,559.48 = 68,959.84 : x
  2. Step 2: Convert to fraction form
    193,706.32/290,559.48 = 68,959.84/x
  3. Step 3: Cross multiply
    193,706.32x = 290,559.48 × 68,959.84
  4. Step 4: Simplify right side
    193,706.32x = 20,036,935,251.28
  5. Step 5: Solve for x
    x = 20,036,935,251.28/193,706.32
  6. Step 6: Final answer
    x = 103,439.76

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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.