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Finding the Fourth Proportional to 214,245.70, 321,238.95 and 95,894.98

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Solution

The fourth proportional to 214,245.70, 321,238.95 and 95,894.98 is: 143,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,245.70 : 321,238.95 = 95,894.98 : x
  2. Step 2: Convert to fraction form
    214,245.70/321,238.95 = 95,894.98/x
  3. Step 3: Cross multiply
    214,245.70x = 321,238.95 × 95,894.98
  4. Step 4: Simplify right side
    214,245.70x = 30,805,202,685.47
  5. Step 5: Solve for x
    x = 30,805,202,685.47/214,245.70
  6. Step 6: Final answer
    x = 143,784.46

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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.