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Finding the Fourth Proportional to 275,076.08, 412,599.42 and 75,396.14

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Solution

The fourth proportional to 275,076.08, 412,599.42 and 75,396.14 is: 113,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076.08 : 412,599.42 = 75,396.14 : x
  2. Step 2: Convert to fraction form
    275,076.08/412,599.42 = 75,396.14/x
  3. Step 3: Cross multiply
    275,076.08x = 412,599.42 × 75,396.14
  4. Step 4: Simplify right side
    275,076.08x = 31,108,404,278.93
  5. Step 5: Solve for x
    x = 31,108,404,278.93/275,076.08
  6. Step 6: Final answer
    x = 113,090.18

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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.