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Finding the Fourth Proportional to 194,143.89, 267,844.12 and 120,521.79

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Solution

The fourth proportional to 194,143.89, 267,844.12 and 120,521.79 is: 166,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,143.89 : 267,844.12 = 120,521.79 : x
  2. Step 2: Convert to fraction form
    194,143.89/267,844.12 = 120,521.79/x
  3. Step 3: Cross multiply
    194,143.89x = 267,844.12 × 120,521.79
  4. Step 4: Simplify right side
    194,143.89x = 32,281,052,783.37
  5. Step 5: Solve for x
    x = 32,281,052,783.37/194,143.89
  6. Step 6: Final answer
    x = 166,273.85

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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.