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Finding the Fourth Proportional to 90,222.92, 135,320.94 and 23,664.20

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Solution

The fourth proportional to 90,222.92, 135,320.94 and 23,664.20 is: 35,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,222.92 : 135,320.94 = 23,664.20 : x
  2. Step 2: Convert to fraction form
    90,222.92/135,320.94 = 23,664.20/x
  3. Step 3: Cross multiply
    90,222.92x = 135,320.94 × 23,664.20
  4. Step 4: Simplify right side
    90,222.92x = 3,202,261,788.35
  5. Step 5: Solve for x
    x = 3,202,261,788.35/90,222.92
  6. Step 6: Final answer
    x = 35,492.77

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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.