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Finding the Fourth Proportional to 253,584.40, 380,162.52 and 159,883.60

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Solution

The fourth proportional to 253,584.40, 380,162.52 and 159,883.60 is: 239,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,584.40 : 380,162.52 = 159,883.60 : x
  2. Step 2: Convert to fraction form
    253,584.40/380,162.52 = 159,883.60/x
  3. Step 3: Cross multiply
    253,584.40x = 380,162.52 × 159,883.60
  4. Step 4: Simplify right side
    253,584.40x = 60,781,752,282.67
  5. Step 5: Solve for x
    x = 60,781,752,282.67/253,584.40
  6. Step 6: Final answer
    x = 239,690.42

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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.