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Finding the Fourth Proportional to 283,533.70, 425,286.43 and 106,027.67

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Solution

The fourth proportional to 283,533.70, 425,286.43 and 106,027.67 is: 159,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,533.70 : 425,286.43 = 106,027.67 : x
  2. Step 2: Convert to fraction form
    283,533.70/425,286.43 = 106,027.67/x
  3. Step 3: Cross multiply
    283,533.70x = 425,286.43 × 106,027.67
  4. Step 4: Simplify right side
    283,533.70x = 45,092,129,255.52
  5. Step 5: Solve for x
    x = 45,092,129,255.52/283,533.70
  6. Step 6: Final answer
    x = 159,036.22

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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.