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Finding the Fourth Proportional to 136,689.92, 204,964.65 and 61,769.48

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Solution

The fourth proportional to 136,689.92, 204,964.65 and 61,769.48 is: 92,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,689.92 : 204,964.65 = 61,769.48 : x
  2. Step 2: Convert to fraction form
    136,689.92/204,964.65 = 61,769.48/x
  3. Step 3: Cross multiply
    136,689.92x = 204,964.65 × 61,769.48
  4. Step 4: Simplify right side
    136,689.92x = 12,660,558,824.06
  5. Step 5: Solve for x
    x = 12,660,558,824.06/136,689.92
  6. Step 6: Final answer
    x = 92,622.48

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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.