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Finding the Fourth Proportional to 194,310.92, 291,476.82 and 61,201.59

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Solution

The fourth proportional to 194,310.92, 291,476.82 and 61,201.59 is: 91,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,310.92 : 291,476.82 = 61,201.59 : x
  2. Step 2: Convert to fraction form
    194,310.92/291,476.82 = 61,201.59/x
  3. Step 3: Cross multiply
    194,310.92x = 291,476.82 × 61,201.59
  4. Step 4: Simplify right side
    194,310.92x = 17,838,844,832.14
  5. Step 5: Solve for x
    x = 17,838,844,832.14/194,310.92
  6. Step 6: Final answer
    x = 91,805.68

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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.