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Finding the Fourth Proportional to 140,856.44, 194,383.42 and 77,192.88

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Solution

The fourth proportional to 140,856.44, 194,383.42 and 77,192.88 is: 106,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,856.44 : 194,383.42 = 77,192.88 : x
  2. Step 2: Convert to fraction form
    140,856.44/194,383.42 = 77,192.88/x
  3. Step 3: Cross multiply
    140,856.44x = 194,383.42 × 77,192.88
  4. Step 4: Simplify right side
    140,856.44x = 15,005,016,014.05
  5. Step 5: Solve for x
    x = 15,005,016,014.05/140,856.44
  6. Step 6: Final answer
    x = 106,527.01

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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.