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Finding the Fourth Proportional to 173,212.80, 259,819.20 and 114,082.80

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Solution

The fourth proportional to 173,212.80, 259,819.20 and 114,082.80 is: 171,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,212.80 : 259,819.20 = 114,082.80 : x
  2. Step 2: Convert to fraction form
    173,212.80/259,819.20 = 114,082.80/x
  3. Step 3: Cross multiply
    173,212.80x = 259,819.20 × 114,082.80
  4. Step 4: Simplify right side
    173,212.80x = 29,640,901,829.76
  5. Step 5: Solve for x
    x = 29,640,901,829.76/173,212.80
  6. Step 6: Final answer
    x = 171,124.20

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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.