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Finding the Fourth Proportional to 263,271.10, 394,906.65 and 97,123.90

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Solution

The fourth proportional to 263,271.10, 394,906.65 and 97,123.90 is: 145,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271.10 : 394,906.65 = 97,123.90 : x
  2. Step 2: Convert to fraction form
    263,271.10/394,906.65 = 97,123.90/x
  3. Step 3: Cross multiply
    263,271.10x = 394,906.65 × 97,123.90
  4. Step 4: Simplify right side
    263,271.10x = 38,354,873,983.94
  5. Step 5: Solve for x
    x = 38,354,873,983.94/263,271.10
  6. Step 6: Final answer
    x = 145,685.85

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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.