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Finding the Fourth Proportional to 181,137.56, 271,619.70 and 67,207.16

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Solution

The fourth proportional to 181,137.56, 271,619.70 and 67,207.16 is: 100,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,137.56 : 271,619.70 = 67,207.16 : x
  2. Step 2: Convert to fraction form
    181,137.56/271,619.70 = 67,207.16/x
  3. Step 3: Cross multiply
    181,137.56x = 271,619.70 × 67,207.16
  4. Step 4: Simplify right side
    181,137.56x = 18,254,788,637.05
  5. Step 5: Solve for x
    x = 18,254,788,637.05/181,137.56
  6. Step 6: Final answer
    x = 100,778.59

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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.