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Finding the Fourth Proportional to 275,351.88, 413,032.38 and 75,671.06

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Solution

The fourth proportional to 275,351.88, 413,032.38 and 75,671.06 is: 113,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,351.88 : 413,032.38 = 75,671.06 : x
  2. Step 2: Convert to fraction form
    275,351.88/413,032.38 = 75,671.06/x
  3. Step 3: Cross multiply
    275,351.88x = 413,032.38 × 75,671.06
  4. Step 4: Simplify right side
    275,351.88x = 31,254,598,008.92
  5. Step 5: Solve for x
    x = 31,254,598,008.92/275,351.88
  6. Step 6: Final answer
    x = 113,507.84

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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.