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Finding the Fourth Proportional to 114,093.78, 171,096.84 and 39,199.92

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Solution

The fourth proportional to 114,093.78, 171,096.84 and 39,199.92 is: 58,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,093.78 : 171,096.84 = 39,199.92 : x
  2. Step 2: Convert to fraction form
    114,093.78/171,096.84 = 39,199.92/x
  3. Step 3: Cross multiply
    114,093.78x = 171,096.84 × 39,199.92
  4. Step 4: Simplify right side
    114,093.78x = 6,706,982,440.25
  5. Step 5: Solve for x
    x = 6,706,982,440.25/114,093.78
  6. Step 6: Final answer
    x = 58,784.82

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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.