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Finding the Fourth Proportional to 129,853.50, 194,814.81 and 41,108.82

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Solution

The fourth proportional to 129,853.50, 194,814.81 and 41,108.82 is: 61,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853.50 : 194,814.81 = 41,108.82 : x
  2. Step 2: Convert to fraction form
    129,853.50/194,814.81 = 41,108.82/x
  3. Step 3: Cross multiply
    129,853.50x = 194,814.81 × 41,108.82
  4. Step 4: Simplify right side
    129,853.50x = 8,008,606,957.62
  5. Step 5: Solve for x
    x = 8,008,606,957.62/129,853.50
  6. Step 6: Final answer
    x = 61,674.17

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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.