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Finding the Fourth Proportional to 180,813.54, 271,225.32 and 68,472.81

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Solution

The fourth proportional to 180,813.54, 271,225.32 and 68,472.81 is: 102,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,813.54 : 271,225.32 = 68,472.81 : x
  2. Step 2: Convert to fraction form
    180,813.54/271,225.32 = 68,472.81/x
  3. Step 3: Cross multiply
    180,813.54x = 271,225.32 × 68,472.81
  4. Step 4: Simplify right side
    180,813.54x = 18,571,559,803.55
  5. Step 5: Solve for x
    x = 18,571,559,803.55/180,813.54
  6. Step 6: Final answer
    x = 102,711.11

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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.