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Finding the Fourth Proportional to 181,284.83, 271,936.46 and 67,407.39

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Solution

The fourth proportional to 181,284.83, 271,936.46 and 67,407.39 is: 101,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284.83 : 271,936.46 = 67,407.39 : x
  2. Step 2: Convert to fraction form
    181,284.83/271,936.46 = 67,407.39/x
  3. Step 3: Cross multiply
    181,284.83x = 271,936.46 × 67,407.39
  4. Step 4: Simplify right side
    181,284.83x = 18,330,527,182.96
  5. Step 5: Solve for x
    x = 18,330,527,182.96/181,284.83
  6. Step 6: Final answer
    x = 101,114.52

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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.