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Finding the Fourth Proportional to 275,141.02, 412,712.13 and 75,464.26

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Solution

The fourth proportional to 275,141.02, 412,712.13 and 75,464.26 is: 113,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,141.02 : 412,712.13 = 75,464.26 : x
  2. Step 2: Convert to fraction form
    275,141.02/412,712.13 = 75,464.26/x
  3. Step 3: Cross multiply
    275,141.02x = 412,712.13 × 75,464.26
  4. Step 4: Simplify right side
    275,141.02x = 31,145,015,483.47
  5. Step 5: Solve for x
    x = 31,145,015,483.47/275,141.02
  6. Step 6: Final answer
    x = 113,196.55

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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.