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Finding the Fourth Proportional to 231,141.60, 346,323.60 and 197,704.80

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Solution

The fourth proportional to 231,141.60, 346,323.60 and 197,704.80 is: 296,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,141.60 : 346,323.60 = 197,704.80 : x
  2. Step 2: Convert to fraction form
    231,141.60/346,323.60 = 197,704.80/x
  3. Step 3: Cross multiply
    231,141.60x = 346,323.60 × 197,704.80
  4. Step 4: Simplify right side
    231,141.60x = 68,469,838,073.28
  5. Step 5: Solve for x
    x = 68,469,838,073.28/231,141.60
  6. Step 6: Final answer
    x = 296,224.64

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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.