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Finding the Fourth Proportional to 96,580.70, 144,912.66 and 52,238.66

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Solution

The fourth proportional to 96,580.70, 144,912.66 and 52,238.66 is: 78,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,580.70 : 144,912.66 = 52,238.66 : x
  2. Step 2: Convert to fraction form
    96,580.70/144,912.66 = 52,238.66/x
  3. Step 3: Cross multiply
    96,580.70x = 144,912.66 × 52,238.66
  4. Step 4: Simplify right side
    96,580.70x = 7,570,043,175.44
  5. Step 5: Solve for x
    x = 7,570,043,175.44/96,580.70
  6. Step 6: Final answer
    x = 78,380.50

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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.