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Finding the Fourth Proportional to 180,951.20, 271,426.80 and 134,295.20

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Solution

The fourth proportional to 180,951.20, 271,426.80 and 134,295.20 is: 201,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,951.20 : 271,426.80 = 134,295.20 : x
  2. Step 2: Convert to fraction form
    180,951.20/271,426.80 = 134,295.20/x
  3. Step 3: Cross multiply
    180,951.20x = 271,426.80 × 134,295.20
  4. Step 4: Simplify right side
    180,951.20x = 36,451,316,391.36
  5. Step 5: Solve for x
    x = 36,451,316,391.36/180,951.20
  6. Step 6: Final answer
    x = 201,442.80

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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.