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Finding the Fourth Proportional to 180,753.53, 271,143.45 and 54,383.81

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Solution

The fourth proportional to 180,753.53, 271,143.45 and 54,383.81 is: 81,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,753.53 : 271,143.45 = 54,383.81 : x
  2. Step 2: Convert to fraction form
    180,753.53/271,143.45 = 54,383.81/x
  3. Step 3: Cross multiply
    180,753.53x = 271,143.45 × 54,383.81
  4. Step 4: Simplify right side
    180,753.53x = 14,745,812,511.83
  5. Step 5: Solve for x
    x = 14,745,812,511.83/180,753.53
  6. Step 6: Final answer
    x = 81,579.67

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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.