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Finding the Fourth Proportional to 275,371.83, 413,059.56 and 75,713.31

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Solution

The fourth proportional to 275,371.83, 413,059.56 and 75,713.31 is: 113,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,371.83 : 413,059.56 = 75,713.31 : x
  2. Step 2: Convert to fraction form
    275,371.83/413,059.56 = 75,713.31/x
  3. Step 3: Cross multiply
    275,371.83x = 413,059.56 × 75,713.31
  4. Step 4: Simplify right side
    275,371.83x = 31,274,106,514.74
  5. Step 5: Solve for x
    x = 31,274,106,514.74/275,371.83
  6. Step 6: Final answer
    x = 113,570.46

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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.