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Finding the Fourth Proportional to 202,137.60, 303,206.40 and 192,296.10

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Solution

The fourth proportional to 202,137.60, 303,206.40 and 192,296.10 is: 288,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.60 : 303,206.40 = 192,296.10 : x
  2. Step 2: Convert to fraction form
    202,137.60/303,206.40 = 192,296.10/x
  3. Step 3: Cross multiply
    202,137.60x = 303,206.40 × 192,296.10
  4. Step 4: Simplify right side
    202,137.60x = 58,305,408,215.04
  5. Step 5: Solve for x
    x = 58,305,408,215.04/202,137.60
  6. Step 6: Final answer
    x = 288,444.15

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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.