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Finding the Fourth Proportional to 102,166.88, 153,217.24 and 37,241.96

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Solution

The fourth proportional to 102,166.88, 153,217.24 and 37,241.96 is: 55,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.88 : 153,217.24 = 37,241.96 : x
  2. Step 2: Convert to fraction form
    102,166.88/153,217.24 = 37,241.96/x
  3. Step 3: Cross multiply
    102,166.88x = 153,217.24 × 37,241.96
  4. Step 4: Simplify right side
    102,166.88x = 5,706,110,323.39
  5. Step 5: Solve for x
    x = 5,706,110,323.39/102,166.88
  6. Step 6: Final answer
    x = 55,850.88

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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.