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Finding the Fourth Proportional to 240,441.94, 360,745.80 and 107,414.02

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Solution

The fourth proportional to 240,441.94, 360,745.80 and 107,414.02 is: 161,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,441.94 : 360,745.80 = 107,414.02 : x
  2. Step 2: Convert to fraction form
    240,441.94/360,745.80 = 107,414.02/x
  3. Step 3: Cross multiply
    240,441.94x = 360,745.80 × 107,414.02
  4. Step 4: Simplify right side
    240,441.94x = 38,749,156,576.12
  5. Step 5: Solve for x
    x = 38,749,156,576.12/240,441.94
  6. Step 6: Final answer
    x = 161,158.06

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Why These Related Problems?

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