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Finding the Fourth Proportional to 119,505.92, 164,912.16 and 65,795.60

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Solution

The fourth proportional to 119,505.92, 164,912.16 and 65,795.60 is: 90,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,505.92 : 164,912.16 = 65,795.60 : x
  2. Step 2: Convert to fraction form
    119,505.92/164,912.16 = 65,795.60/x
  3. Step 3: Cross multiply
    119,505.92x = 164,912.16 × 65,795.60
  4. Step 4: Simplify right side
    119,505.92x = 10,850,494,514.50
  5. Step 5: Solve for x
    x = 10,850,494,514.50/119,505.92
  6. Step 6: Final answer
    x = 90,794.62

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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.