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Finding the Fourth Proportional to 283,027.84, 424,191.84 and 142,826.56

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Solution

The fourth proportional to 283,027.84, 424,191.84 and 142,826.56 is: 214,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,027.84 : 424,191.84 = 142,826.56 : x
  2. Step 2: Convert to fraction form
    283,027.84/424,191.84 = 142,826.56/x
  3. Step 3: Cross multiply
    283,027.84x = 424,191.84 × 142,826.56
  4. Step 4: Simplify right side
    283,027.84x = 60,585,861,287.27
  5. Step 5: Solve for x
    x = 60,585,861,287.27/283,027.84
  6. Step 6: Final answer
    x = 214,063.26

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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.