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Finding the Fourth Proportional to 228,947.75, 343,471.22 and 69,010.31

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Solution

The fourth proportional to 228,947.75, 343,471.22 and 69,010.31 is: 103,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,947.75 : 343,471.22 = 69,010.31 : x
  2. Step 2: Convert to fraction form
    228,947.75/343,471.22 = 69,010.31/x
  3. Step 3: Cross multiply
    228,947.75x = 343,471.22 × 69,010.31
  4. Step 4: Simplify right side
    228,947.75x = 23,703,056,140.69
  5. Step 5: Solve for x
    x = 23,703,056,140.69/228,947.75
  6. Step 6: Final answer
    x = 103,530.42

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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.