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Finding the Fourth Proportional to 202,941.12, 280,137.24 and 181,683.48

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Solution

The fourth proportional to 202,941.12, 280,137.24 and 181,683.48 is: 250,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,941.12 : 280,137.24 = 181,683.48 : x
  2. Step 2: Convert to fraction form
    202,941.12/280,137.24 = 181,683.48/x
  3. Step 3: Cross multiply
    202,941.12x = 280,137.24 × 181,683.48
  4. Step 4: Simplify right side
    202,941.12x = 50,896,308,640.80
  5. Step 5: Solve for x
    x = 50,896,308,640.80/202,941.12
  6. Step 6: Final answer
    x = 250,793.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.