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Finding the Fourth Proportional to 275,012.86, 412,519.64 and 75,335.00

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Solution

The fourth proportional to 275,012.86, 412,519.64 and 75,335.00 is: 113,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,012.86 : 412,519.64 = 75,335.00 : x
  2. Step 2: Convert to fraction form
    275,012.86/412,519.64 = 75,335.00/x
  3. Step 3: Cross multiply
    275,012.86x = 412,519.64 × 75,335.00
  4. Step 4: Simplify right side
    275,012.86x = 31,077,166,048.10
  5. Step 5: Solve for x
    x = 31,077,166,048.10/275,012.86
  6. Step 6: Final answer
    x = 113,002.59

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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.