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Finding the Fourth Proportional to 202,177.36, 303,324.36 and 83,826.64

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Solution

The fourth proportional to 202,177.36, 303,324.36 and 83,826.64 is: 125,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,177.36 : 303,324.36 = 83,826.64 : x
  2. Step 2: Convert to fraction form
    202,177.36/303,324.36 = 83,826.64/x
  3. Step 3: Cross multiply
    202,177.36x = 303,324.36 × 83,826.64
  4. Step 4: Simplify right side
    202,177.36x = 25,426,661,928.95
  5. Step 5: Solve for x
    x = 25,426,661,928.95/202,177.36
  6. Step 6: Final answer
    x = 125,764.14

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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.