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Finding the Fourth Proportional to 180,380.57, 270,550.13 and 47,271.32

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Solution

The fourth proportional to 180,380.57, 270,550.13 and 47,271.32 is: 70,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,380.57 : 270,550.13 = 47,271.32 : x
  2. Step 2: Convert to fraction form
    180,380.57/270,550.13 = 47,271.32/x
  3. Step 3: Cross multiply
    180,380.57x = 270,550.13 × 47,271.32
  4. Step 4: Simplify right side
    180,380.57x = 12,789,261,957.65
  5. Step 5: Solve for x
    x = 12,789,261,957.65/180,380.57
  6. Step 6: Final answer
    x = 70,901.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.