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Finding the Fourth Proportional to 146,406, 202,040.28 and 79,338

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Solution

The fourth proportional to 146,406, 202,040.28 and 79,338 is: 109,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,406 : 202,040.28 = 79,338 : x
  2. Step 2: Convert to fraction form
    146,406/202,040.28 = 79,338/x
  3. Step 3: Cross multiply
    146,406x = 202,040.28 × 79,338
  4. Step 4: Simplify right side
    146,406x = 16,029,471,734.64
  5. Step 5: Solve for x
    x = 16,029,471,734.64/146,406
  6. Step 6: Final answer
    x = 109,486.44

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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.