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Finding the Fourth Proportional to 194,634.60, 291,951.90 and 185,449.20

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Solution

The fourth proportional to 194,634.60, 291,951.90 and 185,449.20 is: 278,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,634.60 : 291,951.90 = 185,449.20 : x
  2. Step 2: Convert to fraction form
    194,634.60/291,951.90 = 185,449.20/x
  3. Step 3: Cross multiply
    194,634.60x = 291,951.90 × 185,449.20
  4. Step 4: Simplify right side
    194,634.60x = 54,142,246,293.48
  5. Step 5: Solve for x
    x = 54,142,246,293.48/194,634.60
  6. Step 6: Final answer
    x = 278,173.80

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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.