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Finding the Fourth Proportional to 90,333.84, 135,451.89 and 71,733.54

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Solution

The fourth proportional to 90,333.84, 135,451.89 and 71,733.54 is: 107,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,333.84 : 135,451.89 = 71,733.54 : x
  2. Step 2: Convert to fraction form
    90,333.84/135,451.89 = 71,733.54/x
  3. Step 3: Cross multiply
    90,333.84x = 135,451.89 × 71,733.54
  4. Step 4: Simplify right side
    90,333.84x = 9,716,443,569.39
  5. Step 5: Solve for x
    x = 9,716,443,569.39/90,333.84
  6. Step 6: Final answer
    x = 107,561.50

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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.