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Finding the Fourth Proportional to 179,903.88, 269,640.78 and 83,711.16

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Solution

The fourth proportional to 179,903.88, 269,640.78 and 83,711.16 is: 125,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,903.88 : 269,640.78 = 83,711.16 : x
  2. Step 2: Convert to fraction form
    179,903.88/269,640.78 = 83,711.16/x
  3. Step 3: Cross multiply
    179,903.88x = 269,640.78 × 83,711.16
  4. Step 4: Simplify right side
    179,903.88x = 22,571,942,477.10
  5. Step 5: Solve for x
    x = 22,571,942,477.10/179,903.88
  6. Step 6: Final answer
    x = 125,466.68

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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.