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Finding the Fourth Proportional to 225,671.85, 311,461.46 and 144,035.37

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Solution

The fourth proportional to 225,671.85, 311,461.46 and 144,035.37 is: 198,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,671.85 : 311,461.46 = 144,035.37 : x
  2. Step 2: Convert to fraction form
    225,671.85/311,461.46 = 144,035.37/x
  3. Step 3: Cross multiply
    225,671.85x = 311,461.46 × 144,035.37
  4. Step 4: Simplify right side
    225,671.85x = 44,861,466,631.84
  5. Step 5: Solve for x
    x = 44,861,466,631.84/225,671.85
  6. Step 6: Final answer
    x = 198,790.71

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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.