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Finding the Fourth Proportional to 263,162.38, 363,142.01 and 155,713.58

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Solution

The fourth proportional to 263,162.38, 363,142.01 and 155,713.58 is: 214,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,162.38 : 363,142.01 = 155,713.58 : x
  2. Step 2: Convert to fraction form
    263,162.38/363,142.01 = 155,713.58/x
  3. Step 3: Cross multiply
    263,162.38x = 363,142.01 × 155,713.58
  4. Step 4: Simplify right side
    263,162.38x = 56,546,141,646.93
  5. Step 5: Solve for x
    x = 56,546,141,646.93/263,162.38
  6. Step 6: Final answer
    x = 214,871.68

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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.