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Finding the Fourth Proportional to 97,694.08, 134,769.60 and 65,822.08

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Solution

The fourth proportional to 97,694.08, 134,769.60 and 65,822.08 is: 90,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.08 : 134,769.60 = 65,822.08 : x
  2. Step 2: Convert to fraction form
    97,694.08/134,769.60 = 65,822.08/x
  3. Step 3: Cross multiply
    97,694.08x = 134,769.60 × 65,822.08
  4. Step 4: Simplify right side
    97,694.08x = 8,870,815,392.77
  5. Step 5: Solve for x
    x = 8,870,815,392.77/97,694.08
  6. Step 6: Final answer
    x = 90,801.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.