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Finding the Fourth Proportional to 260,064.36, 389,777.46 and 147,838.44

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Solution

The fourth proportional to 260,064.36, 389,777.46 and 147,838.44 is: 221,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064.36 : 389,777.46 = 147,838.44 : x
  2. Step 2: Convert to fraction form
    260,064.36/389,777.46 = 147,838.44/x
  3. Step 3: Cross multiply
    260,064.36x = 389,777.46 × 147,838.44
  4. Step 4: Simplify right side
    260,064.36x = 57,624,091,633.56
  5. Step 5: Solve for x
    x = 57,624,091,633.56/260,064.36
  6. Step 6: Final answer
    x = 221,576.27

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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.