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Finding the Fourth Proportional to 146,758.60, 220,137.90 and 133,636.60

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Solution

The fourth proportional to 146,758.60, 220,137.90 and 133,636.60 is: 200,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,758.60 : 220,137.90 = 133,636.60 : x
  2. Step 2: Convert to fraction form
    146,758.60/220,137.90 = 133,636.60/x
  3. Step 3: Cross multiply
    146,758.60x = 220,137.90 × 133,636.60
  4. Step 4: Simplify right side
    146,758.60x = 29,418,480,487.14
  5. Step 5: Solve for x
    x = 29,418,480,487.14/146,758.60
  6. Step 6: Final answer
    x = 200,454.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.