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Finding the Fourth Proportional to 129,806.80, 194,761.40 and 50,907.60

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Solution

The fourth proportional to 129,806.80, 194,761.40 and 50,907.60 is: 76,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,806.80 : 194,761.40 = 50,907.60 : x
  2. Step 2: Convert to fraction form
    129,806.80/194,761.40 = 50,907.60/x
  3. Step 3: Cross multiply
    129,806.80x = 194,761.40 × 50,907.60
  4. Step 4: Simplify right side
    129,806.80x = 9,914,835,446.64
  5. Step 5: Solve for x
    x = 9,914,835,446.64/129,806.80
  6. Step 6: Final answer
    x = 76,381.48

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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.