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Finding the Fourth Proportional to 129,804.80, 194,758.40 and 50,905.60

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Solution

The fourth proportional to 129,804.80, 194,758.40 and 50,905.60 is: 76,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,804.80 : 194,758.40 = 50,905.60 : x
  2. Step 2: Convert to fraction form
    129,804.80/194,758.40 = 50,905.60/x
  3. Step 3: Cross multiply
    129,804.80x = 194,758.40 × 50,905.60
  4. Step 4: Simplify right side
    129,804.80x = 9,914,293,207.04
  5. Step 5: Solve for x
    x = 9,914,293,207.04/129,804.80
  6. Step 6: Final answer
    x = 76,378.48

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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.