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Finding the Fourth Proportional to 202,179.36, 303,327.36 and 83,828.64

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Solution

The fourth proportional to 202,179.36, 303,327.36 and 83,828.64 is: 125,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,179.36 : 303,327.36 = 83,828.64 : x
  2. Step 2: Convert to fraction form
    202,179.36/303,327.36 = 83,828.64/x
  3. Step 3: Cross multiply
    202,179.36x = 303,327.36 × 83,828.64
  4. Step 4: Simplify right side
    202,179.36x = 25,427,520,063.59
  5. Step 5: Solve for x
    x = 25,427,520,063.59/202,179.36
  6. Step 6: Final answer
    x = 125,767.14

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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.