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Finding the Fourth Proportional to 194,098.34, 290,680.95 and 110,739.62

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Solution

The fourth proportional to 194,098.34, 290,680.95 and 110,739.62 is: 165,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098.34 : 290,680.95 = 110,739.62 : x
  2. Step 2: Convert to fraction form
    194,098.34/290,680.95 = 110,739.62/x
  3. Step 3: Cross multiply
    194,098.34x = 290,680.95 × 110,739.62
  4. Step 4: Simplify right side
    194,098.34x = 32,189,897,944.24
  5. Step 5: Solve for x
    x = 32,189,897,944.24/194,098.34
  6. Step 6: Final answer
    x = 165,843.24

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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.