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Finding the Fourth Proportional to 283,309.71, 425,009.67 and 93,777

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Solution

The fourth proportional to 283,309.71, 425,009.67 and 93,777 is: 140,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,309.71 : 425,009.67 = 93,777 : x
  2. Step 2: Convert to fraction form
    283,309.71/425,009.67 = 93,777/x
  3. Step 3: Cross multiply
    283,309.71x = 425,009.67 × 93,777
  4. Step 4: Simplify right side
    283,309.71x = 39,856,131,823.59
  5. Step 5: Solve for x
    x = 39,856,131,823.59/283,309.71
  6. Step 6: Final answer
    x = 140,680.43

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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.