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Finding the Fourth Proportional to 90,537.60, 135,806.40 and 65,961.60

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Solution

The fourth proportional to 90,537.60, 135,806.40 and 65,961.60 is: 98,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,537.60 : 135,806.40 = 65,961.60 : x
  2. Step 2: Convert to fraction form
    90,537.60/135,806.40 = 65,961.60/x
  3. Step 3: Cross multiply
    90,537.60x = 135,806.40 × 65,961.60
  4. Step 4: Simplify right side
    90,537.60x = 8,958,007,434.24
  5. Step 5: Solve for x
    x = 8,958,007,434.24/90,537.60
  6. Step 6: Final answer
    x = 98,942.40

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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.