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Finding the Fourth Proportional to 263,625, 395,355.72 and 95,123.40

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Solution

The fourth proportional to 263,625, 395,355.72 and 95,123.40 is: 142,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,625 : 395,355.72 = 95,123.40 : x
  2. Step 2: Convert to fraction form
    263,625/395,355.72 = 95,123.40/x
  3. Step 3: Cross multiply
    263,625x = 395,355.72 × 95,123.40
  4. Step 4: Simplify right side
    263,625x = 37,607,580,295.85
  5. Step 5: Solve for x
    x = 37,607,580,295.85/263,625
  6. Step 6: Final answer
    x = 142,655.59

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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.