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Finding the Fourth Proportional to 202,092, 303,181.68 and 77,433.12

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Solution

The fourth proportional to 202,092, 303,181.68 and 77,433.12 is: 116,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092 : 303,181.68 = 77,433.12 : x
  2. Step 2: Convert to fraction form
    202,092/303,181.68 = 77,433.12/x
  3. Step 3: Cross multiply
    202,092x = 303,181.68 × 77,433.12
  4. Step 4: Simplify right side
    202,092x = 23,476,303,409.24
  5. Step 5: Solve for x
    x = 23,476,303,409.24/202,092
  6. Step 6: Final answer
    x = 116,166.42

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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.