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Finding the Fourth Proportional to 180,730.80, 271,047.60 and 54,370.80

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Solution

The fourth proportional to 180,730.80, 271,047.60 and 54,370.80 is: 81,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,730.80 : 271,047.60 = 54,370.80 : x
  2. Step 2: Convert to fraction form
    180,730.80/271,047.60 = 54,370.80/x
  3. Step 3: Cross multiply
    180,730.80x = 271,047.60 × 54,370.80
  4. Step 4: Simplify right side
    180,730.80x = 14,737,074,850.08
  5. Step 5: Solve for x
    x = 14,737,074,850.08/180,730.80
  6. Step 6: Final answer
    x = 81,541.58

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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.