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Finding the Fourth Proportional to 147,809.76, 203,977.26 and 80,741.76

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Solution

The fourth proportional to 147,809.76, 203,977.26 and 80,741.76 is: 111,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,809.76 : 203,977.26 = 80,741.76 : x
  2. Step 2: Convert to fraction form
    147,809.76/203,977.26 = 80,741.76/x
  3. Step 3: Cross multiply
    147,809.76x = 203,977.26 × 80,741.76
  4. Step 4: Simplify right side
    147,809.76x = 16,469,482,972.38
  5. Step 5: Solve for x
    x = 16,469,482,972.38/147,809.76
  6. Step 6: Final answer
    x = 111,423.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.