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Finding the Fourth Proportional to 90,338.36, 135,531 and 34,178.84

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Solution

The fourth proportional to 90,338.36, 135,531 and 34,178.84 is: 51,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,338.36 : 135,531 = 34,178.84 : x
  2. Step 2: Convert to fraction form
    90,338.36/135,531 = 34,178.84/x
  3. Step 3: Cross multiply
    90,338.36x = 135,531 × 34,178.84
  4. Step 4: Simplify right side
    90,338.36x = 4,632,292,364.04
  5. Step 5: Solve for x
    x = 4,632,292,364.04/90,338.36
  6. Step 6: Final answer
    x = 51,277.14

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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.