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Finding the Fourth Proportional to 90,205.43, 135,412.89 and 52,792.36

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Solution

The fourth proportional to 90,205.43, 135,412.89 and 52,792.36 is: 79,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,205.43 : 135,412.89 = 52,792.36 : x
  2. Step 2: Convert to fraction form
    90,205.43/135,412.89 = 52,792.36/x
  3. Step 3: Cross multiply
    90,205.43x = 135,412.89 × 52,792.36
  4. Step 4: Simplify right side
    90,205.43x = 7,148,765,649.50
  5. Step 5: Solve for x
    x = 7,148,765,649.50/90,205.43
  6. Step 6: Final answer
    x = 79,249.83

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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.