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Finding the Fourth Proportional to 164,657.94, 227,228.37 and 89,206.44

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Solution

The fourth proportional to 164,657.94, 227,228.37 and 89,206.44 is: 123,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.94 : 227,228.37 = 89,206.44 : x
  2. Step 2: Convert to fraction form
    164,657.94/227,228.37 = 89,206.44/x
  3. Step 3: Cross multiply
    164,657.94x = 227,228.37 × 89,206.44
  4. Step 4: Simplify right side
    164,657.94x = 20,270,233,954.70
  5. Step 5: Solve for x
    x = 20,270,233,954.70/164,657.94
  6. Step 6: Final answer
    x = 123,105.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.