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Finding the Fourth Proportional to 214,247.70, 321,241.95 and 95,896.98

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Solution

The fourth proportional to 214,247.70, 321,241.95 and 95,896.98 is: 143,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,247.70 : 321,241.95 = 95,896.98 : x
  2. Step 2: Convert to fraction form
    214,247.70/321,241.95 = 95,896.98/x
  3. Step 3: Cross multiply
    214,247.70x = 321,241.95 × 95,896.98
  4. Step 4: Simplify right side
    214,247.70x = 30,806,132,854.31
  5. Step 5: Solve for x
    x = 30,806,132,854.31/214,247.70
  6. Step 6: Final answer
    x = 143,787.46

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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.