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Finding the Fourth Proportional to 342,751.44, 514,107.72 and 93,414

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Solution

The fourth proportional to 342,751.44, 514,107.72 and 93,414 is: 140,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,751.44 : 514,107.72 = 93,414 : x
  2. Step 2: Convert to fraction form
    342,751.44/514,107.72 = 93,414/x
  3. Step 3: Cross multiply
    342,751.44x = 514,107.72 × 93,414
  4. Step 4: Simplify right side
    342,751.44x = 48,024,858,556.08
  5. Step 5: Solve for x
    x = 48,024,858,556.08/342,751.44
  6. Step 6: Final answer
    x = 140,115.70

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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.