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Finding the Fourth Proportional to 128,786.38, 177,725.10 and 72,197.76

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Solution

The fourth proportional to 128,786.38, 177,725.10 and 72,197.76 is: 99,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,786.38 : 177,725.10 = 72,197.76 : x
  2. Step 2: Convert to fraction form
    128,786.38/177,725.10 = 72,197.76/x
  3. Step 3: Cross multiply
    128,786.38x = 177,725.10 × 72,197.76
  4. Step 4: Simplify right side
    128,786.38x = 12,831,354,115.78
  5. Step 5: Solve for x
    x = 12,831,354,115.78/128,786.38
  6. Step 6: Final answer
    x = 99,632.85

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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.