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Finding the Fourth Proportional to 273,761.16, 410,656.46 and 86,787.24

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Solution

The fourth proportional to 273,761.16, 410,656.46 and 86,787.24 is: 130,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,761.16 : 410,656.46 = 86,787.24 : x
  2. Step 2: Convert to fraction form
    273,761.16/410,656.46 = 86,787.24/x
  3. Step 3: Cross multiply
    273,761.16x = 410,656.46 × 86,787.24
  4. Step 4: Simplify right side
    273,761.16x = 35,639,740,751.57
  5. Step 5: Solve for x
    x = 35,639,740,751.57/273,761.16
  6. Step 6: Final answer
    x = 130,185.53

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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.