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Finding the Fourth Proportional to 100,168.90, 138,233.10 and 54,849.74

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Solution

The fourth proportional to 100,168.90, 138,233.10 and 54,849.74 is: 75,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,168.90 : 138,233.10 = 54,849.74 : x
  2. Step 2: Convert to fraction form
    100,168.90/138,233.10 = 54,849.74/x
  3. Step 3: Cross multiply
    100,168.90x = 138,233.10 × 54,849.74
  4. Step 4: Simplify right side
    100,168.90x = 7,582,049,594.39
  5. Step 5: Solve for x
    x = 7,582,049,594.39/100,168.90
  6. Step 6: Final answer
    x = 75,692.65

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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.