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Finding the Fourth Proportional to 278,947.73, 385,046.60 and 165,769.13

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Solution

The fourth proportional to 278,947.73, 385,046.60 and 165,769.13 is: 228,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,947.73 : 385,046.60 = 165,769.13 : x
  2. Step 2: Convert to fraction form
    278,947.73/385,046.60 = 165,769.13/x
  3. Step 3: Cross multiply
    278,947.73x = 385,046.60 × 165,769.13
  4. Step 4: Simplify right side
    278,947.73x = 63,828,837,137.38
  5. Step 5: Solve for x
    x = 63,828,837,137.38/278,947.73
  6. Step 6: Final answer
    x = 228,820.07

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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.