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Finding the Fourth Proportional to 264,507.75, 396,638.78 and 96,006.69

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Solution

The fourth proportional to 264,507.75, 396,638.78 and 96,006.69 is: 143,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,507.75 : 396,638.78 = 96,006.69 : x
  2. Step 2: Convert to fraction form
    264,507.75/396,638.78 = 96,006.69/x
  3. Step 3: Cross multiply
    264,507.75x = 396,638.78 × 96,006.69
  4. Step 4: Simplify right side
    264,507.75x = 38,079,975,913.40
  5. Step 5: Solve for x
    x = 38,079,975,913.40/264,507.75
  6. Step 6: Final answer
    x = 143,965.44

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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.