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Finding the Fourth Proportional to 135,309.84, 186,722.98 and 74,883.03

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Solution

The fourth proportional to 135,309.84, 186,722.98 and 74,883.03 is: 103,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.84 : 186,722.98 = 74,883.03 : x
  2. Step 2: Convert to fraction form
    135,309.84/186,722.98 = 74,883.03/x
  3. Step 3: Cross multiply
    135,309.84x = 186,722.98 × 74,883.03
  4. Step 4: Simplify right side
    135,309.84x = 13,982,382,513.03
  5. Step 5: Solve for x
    x = 13,982,382,513.03/135,309.84
  6. Step 6: Final answer
    x = 103,336.04

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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.