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Finding the Fourth Proportional to 263,155.86, 363,157.14 and 145,286.48

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Solution

The fourth proportional to 263,155.86, 363,157.14 and 145,286.48 is: 200,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,155.86 : 363,157.14 = 145,286.48 : x
  2. Step 2: Convert to fraction form
    263,155.86/363,157.14 = 145,286.48/x
  3. Step 3: Cross multiply
    263,155.86x = 363,157.14 × 145,286.48
  4. Step 4: Simplify right side
    263,155.86x = 52,761,822,557.47
  5. Step 5: Solve for x
    x = 52,761,822,557.47/263,155.86
  6. Step 6: Final answer
    x = 200,496.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.