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Finding the Fourth Proportional to 135,174.84, 202,765.05 and 41,680.50

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Solution

The fourth proportional to 135,174.84, 202,765.05 and 41,680.50 is: 62,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,174.84 : 202,765.05 = 41,680.50 : x
  2. Step 2: Convert to fraction form
    135,174.84/202,765.05 = 41,680.50/x
  3. Step 3: Cross multiply
    135,174.84x = 202,765.05 × 41,680.50
  4. Step 4: Simplify right side
    135,174.84x = 8,451,348,666.53
  5. Step 5: Solve for x
    x = 8,451,348,666.53/135,174.84
  6. Step 6: Final answer
    x = 62,521.61

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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.