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Finding the Fourth Proportional to 194,474, 291,798.84 and 111,368

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Solution

The fourth proportional to 194,474, 291,798.84 and 111,368 is: 167,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,474 : 291,798.84 = 111,368 : x
  2. Step 2: Convert to fraction form
    194,474/291,798.84 = 111,368/x
  3. Step 3: Cross multiply
    194,474x = 291,798.84 × 111,368
  4. Step 4: Simplify right side
    194,474x = 32,497,053,213.12
  5. Step 5: Solve for x
    x = 32,497,053,213.12/194,474
  6. Step 6: Final answer
    x = 167,102.30

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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.