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Finding the Fourth Proportional to 100,218.84, 138,304.22 and 57,197.47

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Solution

The fourth proportional to 100,218.84, 138,304.22 and 57,197.47 is: 78,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218.84 : 138,304.22 = 57,197.47 : x
  2. Step 2: Convert to fraction form
    100,218.84/138,304.22 = 57,197.47/x
  3. Step 3: Cross multiply
    100,218.84x = 138,304.22 × 57,197.47
  4. Step 4: Simplify right side
    100,218.84x = 7,910,651,474.32
  5. Step 5: Solve for x
    x = 7,910,651,474.32/100,218.84
  6. Step 6: Final answer
    x = 78,933.78

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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.