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Finding the Fourth Proportional to 275,201.04, 412,799.76 and 75,505.80

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Solution

The fourth proportional to 275,201.04, 412,799.76 and 75,505.80 is: 113,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,201.04 : 412,799.76 = 75,505.80 : x
  2. Step 2: Convert to fraction form
    275,201.04/412,799.76 = 75,505.80/x
  3. Step 3: Cross multiply
    275,201.04x = 412,799.76 × 75,505.80
  4. Step 4: Simplify right side
    275,201.04x = 31,168,776,118.61
  5. Step 5: Solve for x
    x = 31,168,776,118.61/275,201.04
  6. Step 6: Final answer
    x = 113,258.21

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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.