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Finding the Fourth Proportional to 264,982.71, 397,233.55 and 96,383.86

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Solution

The fourth proportional to 264,982.71, 397,233.55 and 96,383.86 is: 144,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,982.71 : 397,233.55 = 96,383.86 : x
  2. Step 2: Convert to fraction form
    264,982.71/397,233.55 = 96,383.86/x
  3. Step 3: Cross multiply
    264,982.71x = 397,233.55 × 96,383.86
  4. Step 4: Simplify right side
    264,982.71x = 38,286,901,997.90
  5. Step 5: Solve for x
    x = 38,286,901,997.90/264,982.71
  6. Step 6: Final answer
    x = 144,488.30

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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.