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Finding the Fourth Proportional to 231,998.40, 348,321.60 and 148,276.80

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Solution

The fourth proportional to 231,998.40, 348,321.60 and 148,276.80 is: 222,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,998.40 : 348,321.60 = 148,276.80 : x
  2. Step 2: Convert to fraction form
    231,998.40/348,321.60 = 148,276.80/x
  3. Step 3: Cross multiply
    231,998.40x = 348,321.60 × 148,276.80
  4. Step 4: Simplify right side
    231,998.40x = 51,648,012,218.88
  5. Step 5: Solve for x
    x = 51,648,012,218.88/231,998.40
  6. Step 6: Final answer
    x = 222,622.28

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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.