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Finding the Fourth Proportional to 273,521.06, 410,314.35 and 83,956.60

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Solution

The fourth proportional to 273,521.06, 410,314.35 and 83,956.60 is: 125,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,521.06 : 410,314.35 = 83,956.60 : x
  2. Step 2: Convert to fraction form
    273,521.06/410,314.35 = 83,956.60/x
  3. Step 3: Cross multiply
    273,521.06x = 410,314.35 × 83,956.60
  4. Step 4: Simplify right side
    273,521.06x = 34,448,597,757.21
  5. Step 5: Solve for x
    x = 34,448,597,757.21/273,521.06
  6. Step 6: Final answer
    x = 125,944.96

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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.