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Finding the Fourth Proportional to 221,947.50, 306,295.11 and 121,351.98

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Solution

The fourth proportional to 221,947.50, 306,295.11 and 121,351.98 is: 167,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,947.50 : 306,295.11 = 121,351.98 : x
  2. Step 2: Convert to fraction form
    221,947.50/306,295.11 = 121,351.98/x
  3. Step 3: Cross multiply
    221,947.50x = 306,295.11 × 121,351.98
  4. Step 4: Simplify right side
    221,947.50x = 37,169,518,062.82
  5. Step 5: Solve for x
    x = 37,169,518,062.82/221,947.50
  6. Step 6: Final answer
    x = 167,469.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.