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Finding the Fourth Proportional to 269,163.76, 371,446.38 and 146,655.56

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Solution

The fourth proportional to 269,163.76, 371,446.38 and 146,655.56 is: 202,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,163.76 : 371,446.38 = 146,655.56 : x
  2. Step 2: Convert to fraction form
    269,163.76/371,446.38 = 146,655.56/x
  3. Step 3: Cross multiply
    269,163.76x = 371,446.38 × 146,655.56
  4. Step 4: Simplify right side
    269,163.76x = 54,474,676,868.87
  5. Step 5: Solve for x
    x = 54,474,676,868.87/269,163.76
  6. Step 6: Final answer
    x = 202,384.89

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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.