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Finding the Fourth Proportional to 99,766, 137,677.26 and 55,054

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Solution

The fourth proportional to 99,766, 137,677.26 and 55,054 is: 75,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766 : 137,677.26 = 55,054 : x
  2. Step 2: Convert to fraction form
    99,766/137,677.26 = 55,054/x
  3. Step 3: Cross multiply
    99,766x = 137,677.26 × 55,054
  4. Step 4: Simplify right side
    99,766x = 7,579,683,872.04
  5. Step 5: Solve for x
    x = 7,579,683,872.04/99,766
  6. Step 6: Final answer
    x = 75,974.62

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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.