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Finding the Fourth Proportional to 208,772.38, 288,180.60 and 123,889.44

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Solution

The fourth proportional to 208,772.38, 288,180.60 and 123,889.44 is: 171,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,772.38 : 288,180.60 = 123,889.44 : x
  2. Step 2: Convert to fraction form
    208,772.38/288,180.60 = 123,889.44/x
  3. Step 3: Cross multiply
    208,772.38x = 288,180.60 × 123,889.44
  4. Step 4: Simplify right side
    208,772.38x = 35,702,533,152.86
  5. Step 5: Solve for x
    x = 35,702,533,152.86/208,772.38
  6. Step 6: Final answer
    x = 171,011.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.