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Finding the Fourth Proportional to 231,763.32, 347,056.92 and 194,224.68

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Solution

The fourth proportional to 231,763.32, 347,056.92 and 194,224.68 is: 290,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,763.32 : 347,056.92 = 194,224.68 : x
  2. Step 2: Convert to fraction form
    231,763.32/347,056.92 = 194,224.68/x
  3. Step 3: Cross multiply
    231,763.32x = 347,056.92 × 194,224.68
  4. Step 4: Simplify right side
    231,763.32x = 67,407,019,228.79
  5. Step 5: Solve for x
    x = 67,407,019,228.79/231,763.32
  6. Step 6: Final answer
    x = 290,844.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.