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Finding the Fourth Proportional to 119,220.64, 178,786.32 and 34,963.36

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Solution

The fourth proportional to 119,220.64, 178,786.32 and 34,963.36 is: 52,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,220.64 : 178,786.32 = 34,963.36 : x
  2. Step 2: Convert to fraction form
    119,220.64/178,786.32 = 34,963.36/x
  3. Step 3: Cross multiply
    119,220.64x = 178,786.32 × 34,963.36
  4. Step 4: Simplify right side
    119,220.64x = 6,250,970,469.24
  5. Step 5: Solve for x
    x = 6,250,970,469.24/119,220.64
  6. Step 6: Final answer
    x = 52,431.95

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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.