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Finding the Fourth Proportional to 132,894.96, 199,395.52 and 54,015.36

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Solution

The fourth proportional to 132,894.96, 199,395.52 and 54,015.36 is: 81,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894.96 : 199,395.52 = 54,015.36 : x
  2. Step 2: Convert to fraction form
    132,894.96/199,395.52 = 54,015.36/x
  3. Step 3: Cross multiply
    132,894.96x = 199,395.52 × 54,015.36
  4. Step 4: Simplify right side
    132,894.96x = 10,770,420,795.19
  5. Step 5: Solve for x
    x = 10,770,420,795.19/132,894.96
  6. Step 6: Final answer
    x = 81,044.61

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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.