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Finding the Fourth Proportional to 104,168.31, 156,261.69 and 29,289.10

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Solution

The fourth proportional to 104,168.31, 156,261.69 and 29,289.10 is: 43,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,168.31 : 156,261.69 = 29,289.10 : x
  2. Step 2: Convert to fraction form
    104,168.31/156,261.69 = 29,289.10/x
  3. Step 3: Cross multiply
    104,168.31x = 156,261.69 × 29,289.10
  4. Step 4: Simplify right side
    104,168.31x = 4,576,764,264.58
  5. Step 5: Solve for x
    x = 4,576,764,264.58/104,168.31
  6. Step 6: Final answer
    x = 43,936.24

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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.