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Finding the Fourth Proportional to 150,471.57, 225,736.86 and 55,702.48

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Solution

The fourth proportional to 150,471.57, 225,736.86 and 55,702.48 is: 83,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,471.57 : 225,736.86 = 55,702.48 : x
  2. Step 2: Convert to fraction form
    150,471.57/225,736.86 = 55,702.48/x
  3. Step 3: Cross multiply
    150,471.57x = 225,736.86 × 55,702.48
  4. Step 4: Simplify right side
    150,471.57x = 12,574,102,650.90
  5. Step 5: Solve for x
    x = 12,574,102,650.90/150,471.57
  6. Step 6: Final answer
    x = 83,564.64

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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.