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Finding the Fourth Proportional to 202,597.29, 303,896.07 and 52,837.20

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Solution

The fourth proportional to 202,597.29, 303,896.07 and 52,837.20 is: 79,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,597.29 : 303,896.07 = 52,837.20 : x
  2. Step 2: Convert to fraction form
    202,597.29/303,896.07 = 52,837.20/x
  3. Step 3: Cross multiply
    202,597.29x = 303,896.07 × 52,837.20
  4. Step 4: Simplify right side
    202,597.29x = 16,057,017,429.80
  5. Step 5: Solve for x
    x = 16,057,017,429.80/202,597.29
  6. Step 6: Final answer
    x = 79,255.84

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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.