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Finding the Fourth Proportional to 146,351.76, 201,974.76 and 89,755.44

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Solution

The fourth proportional to 146,351.76, 201,974.76 and 89,755.44 is: 123,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,351.76 : 201,974.76 = 89,755.44 : x
  2. Step 2: Convert to fraction form
    146,351.76/201,974.76 = 89,755.44/x
  3. Step 3: Cross multiply
    146,351.76x = 201,974.76 × 89,755.44
  4. Step 4: Simplify right side
    146,351.76x = 18,128,333,452.69
  5. Step 5: Solve for x
    x = 18,128,333,452.69/146,351.76
  6. Step 6: Final answer
    x = 123,868.23

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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.