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Finding the Fourth Proportional to 275,510.52, 413,216.10 and 75,805.02

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Solution

The fourth proportional to 275,510.52, 413,216.10 and 75,805.02 is: 113,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,510.52 : 413,216.10 = 75,805.02 : x
  2. Step 2: Convert to fraction form
    275,510.52/413,216.10 = 75,805.02/x
  3. Step 3: Cross multiply
    275,510.52x = 413,216.10 × 75,805.02
  4. Step 4: Simplify right side
    275,510.52x = 31,323,854,724.82
  5. Step 5: Solve for x
    x = 31,323,854,724.82/275,510.52
  6. Step 6: Final answer
    x = 113,693.86

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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.