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Finding the Fourth Proportional to 273,618.43, 410,085 and 146,947.39

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Solution

The fourth proportional to 273,618.43, 410,085 and 146,947.39 is: 220,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,618.43 : 410,085 = 146,947.39 : x
  2. Step 2: Convert to fraction form
    273,618.43/410,085 = 146,947.39/x
  3. Step 3: Cross multiply
    273,618.43x = 410,085 × 146,947.39
  4. Step 4: Simplify right side
    273,618.43x = 60,260,919,402.94
  5. Step 5: Solve for x
    x = 60,260,919,402.94/273,618.43
  6. Step 6: Final answer
    x = 220,237.07

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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.