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Finding the Fourth Proportional to 181,103.50, 271,670.24 and 56,444.50

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Solution

The fourth proportional to 181,103.50, 271,670.24 and 56,444.50 is: 84,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,103.50 : 271,670.24 = 56,444.50 : x
  2. Step 2: Convert to fraction form
    181,103.50/271,670.24 = 56,444.50/x
  3. Step 3: Cross multiply
    181,103.50x = 271,670.24 × 56,444.50
  4. Step 4: Simplify right side
    181,103.50x = 15,334,290,861.68
  5. Step 5: Solve for x
    x = 15,334,290,861.68/181,103.50
  6. Step 6: Final answer
    x = 84,671.42

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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.