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Finding the Fourth Proportional to 99,976.14, 137,965.88 and 54,654.21

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Solution

The fourth proportional to 99,976.14, 137,965.88 and 54,654.21 is: 75,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,976.14 : 137,965.88 = 54,654.21 : x
  2. Step 2: Convert to fraction form
    99,976.14/137,965.88 = 54,654.21/x
  3. Step 3: Cross multiply
    99,976.14x = 137,965.88 × 54,654.21
  4. Step 4: Simplify right side
    99,976.14x = 7,540,416,314.99
  5. Step 5: Solve for x
    x = 7,540,416,314.99/99,976.14
  6. Step 6: Final answer
    x = 75,422.16

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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.