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Finding the Fourth Proportional to 181,228.59, 271,880.55 and 54,875.88

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Solution

The fourth proportional to 181,228.59, 271,880.55 and 54,875.88 is: 82,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,228.59 : 271,880.55 = 54,875.88 : x
  2. Step 2: Convert to fraction form
    181,228.59/271,880.55 = 54,875.88/x
  3. Step 3: Cross multiply
    181,228.59x = 271,880.55 × 54,875.88
  4. Step 4: Simplify right side
    181,228.59x = 14,919,684,436.13
  5. Step 5: Solve for x
    x = 14,919,684,436.13/181,228.59
  6. Step 6: Final answer
    x = 82,325.22

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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.