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Finding the Fourth Proportional to 202,143.30, 303,324.30 and 83,826.60

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Solution

The fourth proportional to 202,143.30, 303,324.30 and 83,826.60 is: 125,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.30 : 303,324.30 = 83,826.60 : x
  2. Step 2: Convert to fraction form
    202,143.30/303,324.30 = 83,826.60/x
  3. Step 3: Cross multiply
    202,143.30x = 303,324.30 × 83,826.60
  4. Step 4: Simplify right side
    202,143.30x = 25,426,644,766.38
  5. Step 5: Solve for x
    x = 25,426,644,766.38/202,143.30
  6. Step 6: Final answer
    x = 125,785.25

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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.