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Finding the Fourth Proportional to 225,352.70, 311,197.48 and 144,919.92

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Solution

The fourth proportional to 225,352.70, 311,197.48 and 144,919.92 is: 200,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,352.70 : 311,197.48 = 144,919.92 : x
  2. Step 2: Convert to fraction form
    225,352.70/311,197.48 = 144,919.92/x
  3. Step 3: Cross multiply
    225,352.70x = 311,197.48 × 144,919.92
  4. Step 4: Simplify right side
    225,352.70x = 45,098,713,905.80
  5. Step 5: Solve for x
    x = 45,098,713,905.80/225,352.70
  6. Step 6: Final answer
    x = 200,125.02

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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.