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Finding the Fourth Proportional to 102,167.14, 153,264.10 and 33,755.97

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Solution

The fourth proportional to 102,167.14, 153,264.10 and 33,755.97 is: 50,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,167.14 : 153,264.10 = 33,755.97 : x
  2. Step 2: Convert to fraction form
    102,167.14/153,264.10 = 33,755.97/x
  3. Step 3: Cross multiply
    102,167.14x = 153,264.10 × 33,755.97
  4. Step 4: Simplify right side
    102,167.14x = 5,173,578,361.68
  5. Step 5: Solve for x
    x = 5,173,578,361.68/102,167.14
  6. Step 6: Final answer
    x = 50,638.38

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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.