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Finding the Fourth Proportional to 273,826.80, 410,754.88 and 86,852.88

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Solution

The fourth proportional to 273,826.80, 410,754.88 and 86,852.88 is: 130,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,826.80 : 410,754.88 = 86,852.88 : x
  2. Step 2: Convert to fraction form
    273,826.80/410,754.88 = 86,852.88/x
  3. Step 3: Cross multiply
    273,826.80x = 410,754.88 × 86,852.88
  4. Step 4: Simplify right side
    273,826.80x = 35,675,244,302.05
  5. Step 5: Solve for x
    x = 35,675,244,302.05/273,826.80
  6. Step 6: Final answer
    x = 130,283.98

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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.