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Finding the Fourth Proportional to 194,440.71, 291,977.50 and 120,033.85

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Solution

The fourth proportional to 194,440.71, 291,977.50 and 120,033.85 is: 180,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,440.71 : 291,977.50 = 120,033.85 : x
  2. Step 2: Convert to fraction form
    194,440.71/291,977.50 = 120,033.85/x
  3. Step 3: Cross multiply
    194,440.71x = 291,977.50 × 120,033.85
  4. Step 4: Simplify right side
    194,440.71x = 35,047,183,438.38
  5. Step 5: Solve for x
    x = 35,047,183,438.38/194,440.71
  6. Step 6: Final answer
    x = 180,246.12

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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.