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Finding the Fourth Proportional to 202,190.42, 303,292.74 and 75,817.82

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Solution

The fourth proportional to 202,190.42, 303,292.74 and 75,817.82 is: 113,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,190.42 : 303,292.74 = 75,817.82 : x
  2. Step 2: Convert to fraction form
    202,190.42/303,292.74 = 75,817.82/x
  3. Step 3: Cross multiply
    202,190.42x = 303,292.74 × 75,817.82
  4. Step 4: Simplify right side
    202,190.42x = 22,994,994,368.63
  5. Step 5: Solve for x
    x = 22,994,994,368.63/202,190.42
  6. Step 6: Final answer
    x = 113,729.40

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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.