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Finding the Fourth Proportional to 202,388.25, 303,596.96 and 77,729.25

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Solution

The fourth proportional to 202,388.25, 303,596.96 and 77,729.25 is: 116,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,388.25 : 303,596.96 = 77,729.25 : x
  2. Step 2: Convert to fraction form
    202,388.25/303,596.96 = 77,729.25/x
  3. Step 3: Cross multiply
    202,388.25x = 303,596.96 × 77,729.25
  4. Step 4: Simplify right side
    202,388.25x = 23,598,363,614.43
  5. Step 5: Solve for x
    x = 23,598,363,614.43/202,388.25
  6. Step 6: Final answer
    x = 116,599.47

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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.