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Finding the Fourth Proportional to 129,794.46, 194,693.31 and 45,551.22

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Solution

The fourth proportional to 129,794.46, 194,693.31 and 45,551.22 is: 68,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,794.46 : 194,693.31 = 45,551.22 : x
  2. Step 2: Convert to fraction form
    129,794.46/194,693.31 = 45,551.22/x
  3. Step 3: Cross multiply
    129,794.46x = 194,693.31 × 45,551.22
  4. Step 4: Simplify right side
    129,794.46x = 8,868,517,796.34
  5. Step 5: Solve for x
    x = 8,868,517,796.34/129,794.46
  6. Step 6: Final answer
    x = 68,327.40

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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.