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Finding the Fourth Proportional to 269,059.70, 371,288.13 and 148,178.06

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Solution

The fourth proportional to 269,059.70, 371,288.13 and 148,178.06 is: 204,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,059.70 : 371,288.13 = 148,178.06 : x
  2. Step 2: Convert to fraction form
    269,059.70/371,288.13 = 148,178.06/x
  3. Step 3: Cross multiply
    269,059.70x = 371,288.13 × 148,178.06
  4. Step 4: Simplify right side
    269,059.70x = 55,016,754,201.40
  5. Step 5: Solve for x
    x = 55,016,754,201.40/269,059.70
  6. Step 6: Final answer
    x = 204,477.87

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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.