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Finding the Fourth Proportional to 153,163.73, 229,745.59 and 46,548.57

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Solution

The fourth proportional to 153,163.73, 229,745.59 and 46,548.57 is: 69,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,163.73 : 229,745.59 = 46,548.57 : x
  2. Step 2: Convert to fraction form
    153,163.73/229,745.59 = 46,548.57/x
  3. Step 3: Cross multiply
    153,163.73x = 229,745.59 × 46,548.57
  4. Step 4: Simplify right side
    153,163.73x = 10,694,327,481.70
  5. Step 5: Solve for x
    x = 10,694,327,481.70/153,163.73
  6. Step 6: Final answer
    x = 69,822.85

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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.