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Finding the Fourth Proportional to 181,111.50, 271,682.24 and 56,452.50

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Solution

The fourth proportional to 181,111.50, 271,682.24 and 56,452.50 is: 84,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,111.50 : 271,682.24 = 56,452.50 : x
  2. Step 2: Convert to fraction form
    181,111.50/271,682.24 = 56,452.50/x
  3. Step 3: Cross multiply
    181,111.50x = 271,682.24 × 56,452.50
  4. Step 4: Simplify right side
    181,111.50x = 15,337,141,371.34
  5. Step 5: Solve for x
    x = 15,337,141,371.34/181,111.50
  6. Step 6: Final answer
    x = 84,683.42

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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.