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Finding the Fourth Proportional to 202,291.40, 303,765.15 and 136,025.30

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Solution

The fourth proportional to 202,291.40, 303,765.15 and 136,025.30 is: 204,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291.40 : 303,765.15 = 136,025.30 : x
  2. Step 2: Convert to fraction form
    202,291.40/303,765.15 = 136,025.30/x
  3. Step 3: Cross multiply
    202,291.40x = 303,765.15 × 136,025.30
  4. Step 4: Simplify right side
    202,291.40x = 41,319,745,658.30
  5. Step 5: Solve for x
    x = 41,319,745,658.30/202,291.40
  6. Step 6: Final answer
    x = 204,258.54

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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.