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Finding the Fourth Proportional to 202,223.20, 303,584.40 and 127,343.20

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Solution

The fourth proportional to 202,223.20, 303,584.40 and 127,343.20 is: 191,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223.20 : 303,584.40 = 127,343.20 : x
  2. Step 2: Convert to fraction form
    202,223.20/303,584.40 = 127,343.20/x
  3. Step 3: Cross multiply
    202,223.20x = 303,584.40 × 127,343.20
  4. Step 4: Simplify right side
    202,223.20x = 38,659,408,966.08
  5. Step 5: Solve for x
    x = 38,659,408,966.08/202,223.20
  6. Step 6: Final answer
    x = 191,171.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.