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Finding the Fourth Proportional to 225,931.54, 311,529.86 and 144,150.36

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Solution

The fourth proportional to 225,931.54, 311,529.86 and 144,150.36 is: 198,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,931.54 : 311,529.86 = 144,150.36 : x
  2. Step 2: Convert to fraction form
    225,931.54/311,529.86 = 144,150.36/x
  3. Step 3: Cross multiply
    225,931.54x = 311,529.86 × 144,150.36
  4. Step 4: Simplify right side
    225,931.54x = 44,907,141,469.75
  5. Step 5: Solve for x
    x = 44,907,141,469.75/225,931.54
  6. Step 6: Final answer
    x = 198,764.38

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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.