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Finding the Fourth Proportional to 275,371.68, 412,978.08 and 75,698.58

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Solution

The fourth proportional to 275,371.68, 412,978.08 and 75,698.58 is: 113,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,371.68 : 412,978.08 = 75,698.58 : x
  2. Step 2: Convert to fraction form
    275,371.68/412,978.08 = 75,698.58/x
  3. Step 3: Cross multiply
    275,371.68x = 412,978.08 × 75,698.58
  4. Step 4: Simplify right side
    275,371.68x = 31,261,854,227.13
  5. Step 5: Solve for x
    x = 31,261,854,227.13/275,371.68
  6. Step 6: Final answer
    x = 113,526.03

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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.