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Finding the Fourth Proportional to 275,374.68, 412,982.58 and 75,701.58

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Solution

The fourth proportional to 275,374.68, 412,982.58 and 75,701.58 is: 113,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,374.68 : 412,982.58 = 75,701.58 : x
  2. Step 2: Convert to fraction form
    275,374.68/412,982.58 = 75,701.58/x
  3. Step 3: Cross multiply
    275,374.68x = 412,982.58 × 75,701.58
  4. Step 4: Simplify right side
    275,374.68x = 31,263,433,818.48
  5. Step 5: Solve for x
    x = 31,263,433,818.48/275,374.68
  6. Step 6: Final answer
    x = 113,530.53

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Why These Related Problems?

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