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Finding the Fourth Proportional to 205,947.48, 308,861.55 and 61,847.49

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Solution

The fourth proportional to 205,947.48, 308,861.55 and 61,847.49 is: 92,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,947.48 : 308,861.55 = 61,847.49 : x
  2. Step 2: Convert to fraction form
    205,947.48/308,861.55 = 61,847.49/x
  3. Step 3: Cross multiply
    205,947.48x = 308,861.55 × 61,847.49
  4. Step 4: Simplify right side
    205,947.48x = 19,102,311,625.01
  5. Step 5: Solve for x
    x = 19,102,311,625.01/205,947.48
  6. Step 6: Final answer
    x = 92,753.32

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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.