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Finding the Fourth Proportional to 302,122.32, 416,949.18 and 199,971.78

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Solution

The fourth proportional to 302,122.32, 416,949.18 and 199,971.78 is: 275,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,122.32 : 416,949.18 = 199,971.78 : x
  2. Step 2: Convert to fraction form
    302,122.32/416,949.18 = 199,971.78/x
  3. Step 3: Cross multiply
    302,122.32x = 416,949.18 × 199,971.78
  4. Step 4: Simplify right side
    302,122.32x = 83,378,069,694.14
  5. Step 5: Solve for x
    x = 83,378,069,694.14/302,122.32
  6. Step 6: Final answer
    x = 275,974.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.