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Finding the Fourth Proportional to 202,448.80, 303,673.20 and 136,093.60

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Solution

The fourth proportional to 202,448.80, 303,673.20 and 136,093.60 is: 204,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,448.80 : 303,673.20 = 136,093.60 : x
  2. Step 2: Convert to fraction form
    202,448.80/303,673.20 = 136,093.60/x
  3. Step 3: Cross multiply
    202,448.80x = 303,673.20 × 136,093.60
  4. Step 4: Simplify right side
    202,448.80x = 41,327,979,011.52
  5. Step 5: Solve for x
    x = 41,327,979,011.52/202,448.80
  6. Step 6: Final answer
    x = 204,140.40

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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.