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Finding the Fourth Proportional to 263,552.35, 363,697.81 and 142,692.66

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Solution

The fourth proportional to 263,552.35, 363,697.81 and 142,692.66 is: 196,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,552.35 : 363,697.81 = 142,692.66 : x
  2. Step 2: Convert to fraction form
    263,552.35/363,697.81 = 142,692.66/x
  3. Step 3: Cross multiply
    263,552.35x = 363,697.81 × 142,692.66
  4. Step 4: Simplify right side
    263,552.35x = 51,897,007,945.07
  5. Step 5: Solve for x
    x = 51,897,007,945.07/263,552.35
  6. Step 6: Final answer
    x = 196,913.47

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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.