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Finding the Fourth Proportional to 194,441.72, 291,979 and 120,034.85

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Solution

The fourth proportional to 194,441.72, 291,979 and 120,034.85 is: 180,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,441.72 : 291,979 = 120,034.85 : x
  2. Step 2: Convert to fraction form
    194,441.72/291,979 = 120,034.85/x
  3. Step 3: Cross multiply
    194,441.72x = 291,979 × 120,034.85
  4. Step 4: Simplify right side
    194,441.72x = 35,047,655,468.15
  5. Step 5: Solve for x
    x = 35,047,655,468.15/194,441.72
  6. Step 6: Final answer
    x = 180,247.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.