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Finding the Fourth Proportional to 135,855.39, 203,717.54 and 56,948.43

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Solution

The fourth proportional to 135,855.39, 203,717.54 and 56,948.43 is: 85,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,855.39 : 203,717.54 = 56,948.43 : x
  2. Step 2: Convert to fraction form
    135,855.39/203,717.54 = 56,948.43/x
  3. Step 3: Cross multiply
    135,855.39x = 203,717.54 × 56,948.43
  4. Step 4: Simplify right side
    135,855.39x = 11,601,394,066.46
  5. Step 5: Solve for x
    x = 11,601,394,066.46/135,855.39
  6. Step 6: Final answer
    x = 85,395.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.