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Finding the Fourth Proportional to 142,872.24, 214,344 and 100,834.44

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Solution

The fourth proportional to 142,872.24, 214,344 and 100,834.44 is: 151,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,872.24 : 214,344 = 100,834.44 : x
  2. Step 2: Convert to fraction form
    142,872.24/214,344 = 100,834.44/x
  3. Step 3: Cross multiply
    142,872.24x = 214,344 × 100,834.44
  4. Step 4: Simplify right side
    142,872.24x = 21,613,257,207.36
  5. Step 5: Solve for x
    x = 21,613,257,207.36/142,872.24
  6. Step 6: Final answer
    x = 151,276.81

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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.