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Finding the Fourth Proportional to 254,745.79, 382,122.33 and 96,982.90

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Solution

The fourth proportional to 254,745.79, 382,122.33 and 96,982.90 is: 145,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,745.79 : 382,122.33 = 96,982.90 : x
  2. Step 2: Convert to fraction form
    254,745.79/382,122.33 = 96,982.90/x
  3. Step 3: Cross multiply
    254,745.79x = 382,122.33 × 96,982.90
  4. Step 4: Simplify right side
    254,745.79x = 37,059,329,807.55
  5. Step 5: Solve for x
    x = 37,059,329,807.55/254,745.79
  6. Step 6: Final answer
    x = 145,475.73

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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.