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Finding the Fourth Proportional to 225,551.76, 311,261.24 and 123,583.80

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Solution

The fourth proportional to 225,551.76, 311,261.24 and 123,583.80 is: 170,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,551.76 : 311,261.24 = 123,583.80 : x
  2. Step 2: Convert to fraction form
    225,551.76/311,261.24 = 123,583.80/x
  3. Step 3: Cross multiply
    225,551.76x = 311,261.24 × 123,583.80
  4. Step 4: Simplify right side
    225,551.76x = 38,466,846,831.91
  5. Step 5: Solve for x
    x = 38,466,846,831.91/225,551.76
  6. Step 6: Final answer
    x = 170,545.54

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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.