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Finding the Fourth Proportional to 99,406, 137,180.28 and 54,694

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Solution

The fourth proportional to 99,406, 137,180.28 and 54,694 is: 75,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,406 : 137,180.28 = 54,694 : x
  2. Step 2: Convert to fraction form
    99,406/137,180.28 = 54,694/x
  3. Step 3: Cross multiply
    99,406x = 137,180.28 × 54,694
  4. Step 4: Simplify right side
    99,406x = 7,502,938,234.32
  5. Step 5: Solve for x
    x = 7,502,938,234.32/99,406
  6. Step 6: Final answer
    x = 75,477.72

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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.