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Finding the Fourth Proportional to 273,754.32, 410,631.46 and 86,765.82

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Solution

The fourth proportional to 273,754.32, 410,631.46 and 86,765.82 is: 130,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,754.32 : 410,631.46 = 86,765.82 : x
  2. Step 2: Convert to fraction form
    273,754.32/410,631.46 = 86,765.82/x
  3. Step 3: Cross multiply
    273,754.32x = 410,631.46 × 86,765.82
  4. Step 4: Simplify right side
    273,754.32x = 35,628,775,344.70
  5. Step 5: Solve for x
    x = 35,628,775,344.70/273,754.32
  6. Step 6: Final answer
    x = 130,148.72

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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.