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Finding the Fourth Proportional to 90,203.11, 135,305.25 and 23,642.67

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Solution

The fourth proportional to 90,203.11, 135,305.25 and 23,642.67 is: 35,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,203.11 : 135,305.25 = 23,642.67 : x
  2. Step 2: Convert to fraction form
    90,203.11/135,305.25 = 23,642.67/x
  3. Step 3: Cross multiply
    90,203.11x = 135,305.25 × 23,642.67
  4. Step 4: Simplify right side
    90,203.11x = 3,198,976,780.50
  5. Step 5: Solve for x
    x = 3,198,976,780.50/90,203.11
  6. Step 6: Final answer
    x = 35,464.15

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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.