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Finding the Fourth Proportional to 263,421.68, 395,221.24 and 83,536.50

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Solution

The fourth proportional to 263,421.68, 395,221.24 and 83,536.50 is: 125,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,421.68 : 395,221.24 = 83,536.50 : x
  2. Step 2: Convert to fraction form
    263,421.68/395,221.24 = 83,536.50/x
  3. Step 3: Cross multiply
    263,421.68x = 395,221.24 × 83,536.50
  4. Step 4: Simplify right side
    263,421.68x = 33,015,399,115.26
  5. Step 5: Solve for x
    x = 33,015,399,115.26/263,421.68
  6. Step 6: Final answer
    x = 125,332.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.