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Finding the Fourth Proportional to 160,163.82, 240,276.47 and 53,581.37

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Solution

The fourth proportional to 160,163.82, 240,276.47 and 53,581.37 is: 80,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,163.82 : 240,276.47 = 53,581.37 : x
  2. Step 2: Convert to fraction form
    160,163.82/240,276.47 = 53,581.37/x
  3. Step 3: Cross multiply
    160,163.82x = 240,276.47 × 53,581.37
  4. Step 4: Simplify right side
    160,163.82x = 12,874,340,972.07
  5. Step 5: Solve for x
    x = 12,874,340,972.07/160,163.82
  6. Step 6: Final answer
    x = 80,382.33

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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.