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Finding the Fourth Proportional to 269,176.76, 371,214.34 and 196,464.56

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Solution

The fourth proportional to 269,176.76, 371,214.34 and 196,464.56 is: 270,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,176.76 : 371,214.34 = 196,464.56 : x
  2. Step 2: Convert to fraction form
    269,176.76/371,214.34 = 196,464.56/x
  3. Step 3: Cross multiply
    269,176.76x = 371,214.34 × 196,464.56
  4. Step 4: Simplify right side
    269,176.76x = 72,930,460,117.72
  5. Step 5: Solve for x
    x = 72,930,460,117.72/269,176.76
  6. Step 6: Final answer
    x = 270,938.92

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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.