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Finding the Fourth Proportional to 180,535.52, 270,815.57 and 47,415.54

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Solution

The fourth proportional to 180,535.52, 270,815.57 and 47,415.54 is: 71,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,535.52 : 270,815.57 = 47,415.54 : x
  2. Step 2: Convert to fraction form
    180,535.52/270,815.57 = 47,415.54/x
  3. Step 3: Cross multiply
    180,535.52x = 270,815.57 × 47,415.54
  4. Step 4: Simplify right side
    180,535.52x = 12,840,866,254.88
  5. Step 5: Solve for x
    x = 12,840,866,254.88/180,535.52
  6. Step 6: Final answer
    x = 71,126.54

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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.