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Finding the Fourth Proportional to 129,647.80, 194,039.70 and 94,007.80

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Solution

The fourth proportional to 129,647.80, 194,039.70 and 94,007.80 is: 140,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,647.80 : 194,039.70 = 94,007.80 : x
  2. Step 2: Convert to fraction form
    129,647.80/194,039.70 = 94,007.80/x
  3. Step 3: Cross multiply
    129,647.80x = 194,039.70 × 94,007.80
  4. Step 4: Simplify right side
    129,647.80x = 18,241,245,309.66
  5. Step 5: Solve for x
    x = 18,241,245,309.66/129,647.80
  6. Step 6: Final answer
    x = 140,698.46

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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.