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Finding the Fourth Proportional to 283,717.42, 425,638.37 and 84,053.41

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Solution

The fourth proportional to 283,717.42, 425,638.37 and 84,053.41 is: 126,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,717.42 : 425,638.37 = 84,053.41 : x
  2. Step 2: Convert to fraction form
    283,717.42/425,638.37 = 84,053.41/x
  3. Step 3: Cross multiply
    283,717.42x = 425,638.37 × 84,053.41
  4. Step 4: Simplify right side
    283,717.42x = 35,776,356,425.34
  5. Step 5: Solve for x
    x = 35,776,356,425.34/283,717.42
  6. Step 6: Final answer
    x = 126,098.55

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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.