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Finding the Fourth Proportional to 316,512.52, 474,768.78 and 106,149.85

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Solution

The fourth proportional to 316,512.52, 474,768.78 and 106,149.85 is: 159,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,512.52 : 474,768.78 = 106,149.85 : x
  2. Step 2: Convert to fraction form
    316,512.52/474,768.78 = 106,149.85/x
  3. Step 3: Cross multiply
    316,512.52x = 474,768.78 × 106,149.85
  4. Step 4: Simplify right side
    316,512.52x = 50,396,632,407.84
  5. Step 5: Solve for x
    x = 50,396,632,407.84/316,512.52
  6. Step 6: Final answer
    x = 159,224.77

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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.