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Finding the Fourth Proportional to 227,113.92, 340,972.32 and 194,046.48

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Solution

The fourth proportional to 227,113.92, 340,972.32 and 194,046.48 is: 291,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,113.92 : 340,972.32 = 194,046.48 : x
  2. Step 2: Convert to fraction form
    227,113.92/340,972.32 = 194,046.48/x
  3. Step 3: Cross multiply
    227,113.92x = 340,972.32 × 194,046.48
  4. Step 4: Simplify right side
    227,113.92x = 66,164,478,473.43
  5. Step 5: Solve for x
    x = 66,164,478,473.43/227,113.92
  6. Step 6: Final answer
    x = 291,327.27

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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.