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Finding the Fourth Proportional to 135,754.84, 187,333.14 and 82,008.04

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Solution

The fourth proportional to 135,754.84, 187,333.14 and 82,008.04 is: 113,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,754.84 : 187,333.14 = 82,008.04 : x
  2. Step 2: Convert to fraction form
    135,754.84/187,333.14 = 82,008.04/x
  3. Step 3: Cross multiply
    135,754.84x = 187,333.14 × 82,008.04
  4. Step 4: Simplify right side
    135,754.84x = 15,362,823,638.45
  5. Step 5: Solve for x
    x = 15,362,823,638.45/135,754.84
  6. Step 6: Final answer
    x = 113,165.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.