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Finding the Fourth Proportional to 194,496.93, 291,219.30 and 100,805.85

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Solution

The fourth proportional to 194,496.93, 291,219.30 and 100,805.85 is: 150,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,496.93 : 291,219.30 = 100,805.85 : x
  2. Step 2: Convert to fraction form
    194,496.93/291,219.30 = 100,805.85/x
  3. Step 3: Cross multiply
    194,496.93x = 291,219.30 × 100,805.85
  4. Step 4: Simplify right side
    194,496.93x = 29,356,609,072.91
  5. Step 5: Solve for x
    x = 29,356,609,072.91/194,496.93
  6. Step 6: Final answer
    x = 150,936.11

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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.