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Finding the Fourth Proportional to 159,118.62, 238,640.97 and 46,768.78

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Solution

The fourth proportional to 159,118.62, 238,640.97 and 46,768.78 is: 70,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,118.62 : 238,640.97 = 46,768.78 : x
  2. Step 2: Convert to fraction form
    159,118.62/238,640.97 = 46,768.78/x
  3. Step 3: Cross multiply
    159,118.62x = 238,640.97 × 46,768.78
  4. Step 4: Simplify right side
    159,118.62x = 11,160,947,024.92
  5. Step 5: Solve for x
    x = 11,160,947,024.92/159,118.62
  6. Step 6: Final answer
    x = 70,142.31

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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.