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Finding the Fourth Proportional to 263,355.93, 363,428.59 and 142,494.56

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Solution

The fourth proportional to 263,355.93, 363,428.59 and 142,494.56 is: 196,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,355.93 : 363,428.59 = 142,494.56 : x
  2. Step 2: Convert to fraction form
    263,355.93/363,428.59 = 142,494.56/x
  3. Step 3: Cross multiply
    263,355.93x = 363,428.59 × 142,494.56
  4. Step 4: Simplify right side
    263,355.93x = 51,786,597,023.47
  5. Step 5: Solve for x
    x = 51,786,597,023.47/263,355.93
  6. Step 6: Final answer
    x = 196,641.09

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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.