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Finding the Fourth Proportional to 202,077.59, 303,079.32 and 75,705.44

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Solution

The fourth proportional to 202,077.59, 303,079.32 and 75,705.44 is: 113,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,077.59 : 303,079.32 = 75,705.44 : x
  2. Step 2: Convert to fraction form
    202,077.59/303,079.32 = 75,705.44/x
  3. Step 3: Cross multiply
    202,077.59x = 303,079.32 × 75,705.44
  4. Step 4: Simplify right side
    202,077.59x = 22,944,751,760.10
  5. Step 5: Solve for x
    x = 22,944,751,760.10/202,077.59
  6. Step 6: Final answer
    x = 113,544.27

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1.5x scale

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.