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Finding the Fourth Proportional to 100,197, 138,273.48 and 54,874.20

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Solution

The fourth proportional to 100,197, 138,273.48 and 54,874.20 is: 75,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197 : 138,273.48 = 54,874.20 : x
  2. Step 2: Convert to fraction form
    100,197/138,273.48 = 54,874.20/x
  3. Step 3: Cross multiply
    100,197x = 138,273.48 × 54,874.20
  4. Step 4: Simplify right side
    100,197x = 7,587,646,596.22
  5. Step 5: Solve for x
    x = 7,587,646,596.22/100,197
  6. Step 6: Final answer
    x = 75,727.28

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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.