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Finding the Fourth Proportional to 202,041, 303,073.65 and 61,800.84

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Solution

The fourth proportional to 202,041, 303,073.65 and 61,800.84 is: 92,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,041 : 303,073.65 = 61,800.84 : x
  2. Step 2: Convert to fraction form
    202,041/303,073.65 = 61,800.84/x
  3. Step 3: Cross multiply
    202,041x = 303,073.65 × 61,800.84
  4. Step 4: Simplify right side
    202,041x = 18,730,206,151.87
  5. Step 5: Solve for x
    x = 18,730,206,151.87/202,041
  6. Step 6: Final answer
    x = 92,704.98

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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.