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Finding the Fourth Proportional to 263,422.31, 395,100.14 and 83,509.49

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Solution

The fourth proportional to 263,422.31, 395,100.14 and 83,509.49 is: 125,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,422.31 : 395,100.14 = 83,509.49 : x
  2. Step 2: Convert to fraction form
    263,422.31/395,100.14 = 83,509.49/x
  3. Step 3: Cross multiply
    263,422.31x = 395,100.14 × 83,509.49
  4. Step 4: Simplify right side
    263,422.31x = 32,994,609,110.44
  5. Step 5: Solve for x
    x = 32,994,609,110.44/263,422.31
  6. Step 6: Final answer
    x = 125,253.66

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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.