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Finding the Fourth Proportional to 194,520, 291,709.82 and 82,208.91

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Solution

The fourth proportional to 194,520, 291,709.82 and 82,208.91 is: 123,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,520 : 291,709.82 = 82,208.91 : x
  2. Step 2: Convert to fraction form
    194,520/291,709.82 = 82,208.91/x
  3. Step 3: Cross multiply
    194,520x = 291,709.82 × 82,208.91
  4. Step 4: Simplify right side
    194,520x = 23,981,145,927.45
  5. Step 5: Solve for x
    x = 23,981,145,927.45/194,520
  6. Step 6: Final answer
    x = 123,283.70

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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.