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Finding the Fourth Proportional to 181,278.60, 271,811.52 and 54,880.80

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Solution

The fourth proportional to 181,278.60, 271,811.52 and 54,880.80 is: 82,288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,278.60 : 271,811.52 = 54,880.80 : x
  2. Step 2: Convert to fraction form
    181,278.60/271,811.52 = 54,880.80/x
  3. Step 3: Cross multiply
    181,278.60x = 271,811.52 × 54,880.80
  4. Step 4: Simplify right side
    181,278.60x = 14,917,233,666.82
  5. Step 5: Solve for x
    x = 14,917,233,666.82/181,278.60
  6. Step 6: Final answer
    x = 82,288.99

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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.