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Finding the Fourth Proportional to 128,311.92, 177,072.21 and 77,377.77

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Solution

The fourth proportional to 128,311.92, 177,072.21 and 77,377.77 is: 106,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,311.92 : 177,072.21 = 77,377.77 : x
  2. Step 2: Convert to fraction form
    128,311.92/177,072.21 = 77,377.77/x
  3. Step 3: Cross multiply
    128,311.92x = 177,072.21 × 77,377.77
  4. Step 4: Simplify right side
    128,311.92x = 13,701,452,738.77
  5. Step 5: Solve for x
    x = 13,701,452,738.77/128,311.92
  6. Step 6: Final answer
    x = 106,782.38

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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.