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Finding the Fourth Proportional to 155,687.67, 233,564.31 and 50,498.44

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Solution

The fourth proportional to 155,687.67, 233,564.31 and 50,498.44 is: 75,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,687.67 : 233,564.31 = 50,498.44 : x
  2. Step 2: Convert to fraction form
    155,687.67/233,564.31 = 50,498.44/x
  3. Step 3: Cross multiply
    155,687.67x = 233,564.31 × 50,498.44
  4. Step 4: Simplify right side
    155,687.67x = 11,794,632,710.77
  5. Step 5: Solve for x
    x = 11,794,632,710.77/155,687.67
  6. Step 6: Final answer
    x = 75,758.30

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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.