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Finding the Fourth Proportional to 129,471.80, 194,129.93 and 50,623.16

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Solution

The fourth proportional to 129,471.80, 194,129.93 and 50,623.16 is: 75,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,471.80 : 194,129.93 = 50,623.16 : x
  2. Step 2: Convert to fraction form
    129,471.80/194,129.93 = 50,623.16/x
  3. Step 3: Cross multiply
    129,471.80x = 194,129.93 × 50,623.16
  4. Step 4: Simplify right side
    129,471.80x = 9,827,469,663.09
  5. Step 5: Solve for x
    x = 9,827,469,663.09/129,471.80
  6. Step 6: Final answer
    x = 75,904.33

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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.