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Finding the Fourth Proportional to 225,583.82, 311,292.25 and 123,588.98

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Solution

The fourth proportional to 225,583.82, 311,292.25 and 123,588.98 is: 170,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,583.82 : 311,292.25 = 123,588.98 : x
  2. Step 2: Convert to fraction form
    225,583.82/311,292.25 = 123,588.98/x
  3. Step 3: Cross multiply
    225,583.82x = 311,292.25 × 123,588.98
  4. Step 4: Simplify right side
    225,583.82x = 38,472,289,793.97
  5. Step 5: Solve for x
    x = 38,472,289,793.97/225,583.82
  6. Step 6: Final answer
    x = 170,545.43

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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.