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Finding the Fourth Proportional to 342,805.91, 514,219.79 and 106,150.64

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Solution

The fourth proportional to 342,805.91, 514,219.79 and 106,150.64 is: 159,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,805.91 : 514,219.79 = 106,150.64 : x
  2. Step 2: Convert to fraction form
    342,805.91/514,219.79 = 106,150.64/x
  3. Step 3: Cross multiply
    342,805.91x = 514,219.79 × 106,150.64
  4. Step 4: Simplify right side
    342,805.91x = 54,584,757,503.44
  5. Step 5: Solve for x
    x = 54,584,757,503.44/342,805.91
  6. Step 6: Final answer
    x = 159,229.34

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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.