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Finding the Fourth Proportional to 140,932.44, 194,486.13 and 77,270.22

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Solution

The fourth proportional to 140,932.44, 194,486.13 and 77,270.22 is: 106,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,932.44 : 194,486.13 = 77,270.22 : x
  2. Step 2: Convert to fraction form
    140,932.44/194,486.13 = 77,270.22/x
  3. Step 3: Cross multiply
    140,932.44x = 194,486.13 × 77,270.22
  4. Step 4: Simplify right side
    140,932.44x = 15,027,986,052.05
  5. Step 5: Solve for x
    x = 15,027,986,052.05/140,932.44
  6. Step 6: Final answer
    x = 106,632.55

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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.