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Finding the Fourth Proportional to 260,022.27, 389,714.40 and 147,796.50

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Solution

The fourth proportional to 260,022.27, 389,714.40 and 147,796.50 is: 221,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,022.27 : 389,714.40 = 147,796.50 : x
  2. Step 2: Convert to fraction form
    260,022.27/389,714.40 = 147,796.50/x
  3. Step 3: Cross multiply
    260,022.27x = 389,714.40 × 147,796.50
  4. Step 4: Simplify right side
    260,022.27x = 57,598,424,319.60
  5. Step 5: Solve for x
    x = 57,598,424,319.60/260,022.27
  6. Step 6: Final answer
    x = 221,513.43

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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.