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Finding the Fourth Proportional to 181,142.52, 271,726.26 and 75,855.48

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Solution

The fourth proportional to 181,142.52, 271,726.26 and 75,855.48 is: 113,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,142.52 : 271,726.26 = 75,855.48 : x
  2. Step 2: Convert to fraction form
    181,142.52/271,726.26 = 75,855.48/x
  3. Step 3: Cross multiply
    181,142.52x = 271,726.26 × 75,855.48
  4. Step 4: Simplify right side
    181,142.52x = 20,611,925,880.90
  5. Step 5: Solve for x
    x = 20,611,925,880.90/181,142.52
  6. Step 6: Final answer
    x = 113,788.45

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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.