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Finding the Fourth Proportional to 202,305.70, 303,786.60 and 146,537.20

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Solution

The fourth proportional to 202,305.70, 303,786.60 and 146,537.20 is: 220,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305.70 : 303,786.60 = 146,537.20 : x
  2. Step 2: Convert to fraction form
    202,305.70/303,786.60 = 146,537.20/x
  3. Step 3: Cross multiply
    202,305.70x = 303,786.60 × 146,537.20
  4. Step 4: Simplify right side
    202,305.70x = 44,516,037,761.52
  5. Step 5: Solve for x
    x = 44,516,037,761.52/202,305.70
  6. Step 6: Final answer
    x = 220,043.42

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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.