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Finding the Fourth Proportional to 342,958.14, 514,249.29 and 106,235.10

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Solution

The fourth proportional to 342,958.14, 514,249.29 and 106,235.10 is: 159,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,958.14 : 514,249.29 = 106,235.10 : x
  2. Step 2: Convert to fraction form
    342,958.14/514,249.29 = 106,235.10/x
  3. Step 3: Cross multiply
    342,958.14x = 514,249.29 × 106,235.10
  4. Step 4: Simplify right side
    342,958.14x = 54,631,324,748.08
  5. Step 5: Solve for x
    x = 54,631,324,748.08/342,958.14
  6. Step 6: Final answer
    x = 159,294.44

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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.