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Finding the Fourth Proportional to 99,797.97, 137,721.69 and 54,477

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Solution

The fourth proportional to 99,797.97, 137,721.69 and 54,477 is: 75,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,797.97 : 137,721.69 = 54,477 : x
  2. Step 2: Convert to fraction form
    99,797.97/137,721.69 = 54,477/x
  3. Step 3: Cross multiply
    99,797.97x = 137,721.69 × 54,477
  4. Step 4: Simplify right side
    99,797.97x = 7,502,664,506.13
  5. Step 5: Solve for x
    x = 7,502,664,506.13/99,797.97
  6. Step 6: Final answer
    x = 75,178.53

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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.