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Finding the Fourth Proportional to 283,021.88, 424,408.28 and 149,871.04

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Solution

The fourth proportional to 283,021.88, 424,408.28 and 149,871.04 is: 224,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,021.88 : 424,408.28 = 149,871.04 : x
  2. Step 2: Convert to fraction form
    283,021.88/424,408.28 = 149,871.04/x
  3. Step 3: Cross multiply
    283,021.88x = 424,408.28 × 149,871.04
  4. Step 4: Simplify right side
    283,021.88x = 63,606,508,497.84
  5. Step 5: Solve for x
    x = 63,606,508,497.84/283,021.88
  6. Step 6: Final answer
    x = 224,740.61

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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.