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Finding the Fourth Proportional to 99,902.84, 149,725.07 and 74,745.50

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Solution

The fourth proportional to 99,902.84, 149,725.07 and 74,745.50 is: 112,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902.84 : 149,725.07 = 74,745.50 : x
  2. Step 2: Convert to fraction form
    99,902.84/149,725.07 = 74,745.50/x
  3. Step 3: Cross multiply
    99,902.84x = 149,725.07 × 74,745.50
  4. Step 4: Simplify right side
    99,902.84x = 11,191,274,377.63
  5. Step 5: Solve for x
    x = 11,191,274,377.63/99,902.84
  6. Step 6: Final answer
    x = 112,021.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.