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Finding the Fourth Proportional to 193,675.50, 290,524.19 and 69,016.50

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Solution

The fourth proportional to 193,675.50, 290,524.19 and 69,016.50 is: 103,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,675.50 : 290,524.19 = 69,016.50 : x
  2. Step 2: Convert to fraction form
    193,675.50/290,524.19 = 69,016.50/x
  3. Step 3: Cross multiply
    193,675.50x = 290,524.19 × 69,016.50
  4. Step 4: Simplify right side
    193,675.50x = 20,050,962,414.05
  5. Step 5: Solve for x
    x = 20,050,962,414.05/193,675.50
  6. Step 6: Final answer
    x = 103,528.65

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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.