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Finding the Fourth Proportional to 202,192, 303,275.20 and 78,965.52

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Solution

The fourth proportional to 202,192, 303,275.20 and 78,965.52 is: 118,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,192 : 303,275.20 = 78,965.52 : x
  2. Step 2: Convert to fraction form
    202,192/303,275.20 = 78,965.52/x
  3. Step 3: Cross multiply
    202,192x = 303,275.20 × 78,965.52
  4. Step 4: Simplify right side
    202,192x = 23,948,283,871.10
  5. Step 5: Solve for x
    x = 23,948,283,871.10/202,192
  6. Step 6: Final answer
    x = 118,443.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.