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Finding the Fourth Proportional to 264,805.92, 397,084.02 and 96,207.36

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Solution

The fourth proportional to 264,805.92, 397,084.02 and 96,207.36 is: 144,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,805.92 : 397,084.02 = 96,207.36 : x
  2. Step 2: Convert to fraction form
    264,805.92/397,084.02 = 96,207.36/x
  3. Step 3: Cross multiply
    264,805.92x = 397,084.02 × 96,207.36
  4. Step 4: Simplify right side
    264,805.92x = 38,202,405,262.39
  5. Step 5: Solve for x
    x = 38,202,405,262.39/264,805.92
  6. Step 6: Final answer
    x = 144,265.68

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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.