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Finding the Fourth Proportional to 181,872.96, 272,853.32 and 57,213.96

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Solution

The fourth proportional to 181,872.96, 272,853.32 and 57,213.96 is: 85,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,872.96 : 272,853.32 = 57,213.96 : x
  2. Step 2: Convert to fraction form
    181,872.96/272,853.32 = 57,213.96/x
  3. Step 3: Cross multiply
    181,872.96x = 272,853.32 × 57,213.96
  4. Step 4: Simplify right side
    181,872.96x = 15,611,018,650.28
  5. Step 5: Solve for x
    x = 15,611,018,650.28/181,872.96
  6. Step 6: Final answer
    x = 85,834.74

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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.