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Finding the Fourth Proportional to 283,596.17, 425,402.51 and 106,069.31

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Solution

The fourth proportional to 283,596.17, 425,402.51 and 106,069.31 is: 159,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,596.17 : 425,402.51 = 106,069.31 : x
  2. Step 2: Convert to fraction form
    283,596.17/425,402.51 = 106,069.31/x
  3. Step 3: Cross multiply
    283,596.17x = 425,402.51 × 106,069.31
  4. Step 4: Simplify right side
    283,596.17x = 45,122,150,177.62
  5. Step 5: Solve for x
    x = 45,122,150,177.62/283,596.17
  6. Step 6: Final answer
    x = 159,107.05

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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.