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Finding the Fourth Proportional to 275,014.36, 412,521.90 and 75,336.50

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Solution

The fourth proportional to 275,014.36, 412,521.90 and 75,336.50 is: 113,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,014.36 : 412,521.90 = 75,336.50 : x
  2. Step 2: Convert to fraction form
    275,014.36/412,521.90 = 75,336.50/x
  3. Step 3: Cross multiply
    275,014.36x = 412,521.90 × 75,336.50
  4. Step 4: Simplify right side
    275,014.36x = 31,077,955,742.67
  5. Step 5: Solve for x
    x = 31,077,955,742.67/275,014.36
  6. Step 6: Final answer
    x = 113,004.85

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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.