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Finding the Fourth Proportional to 254,758.86, 382,146.84 and 114,517.89

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Solution

The fourth proportional to 254,758.86, 382,146.84 and 114,517.89 is: 171,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,758.86 : 382,146.84 = 114,517.89 : x
  2. Step 2: Convert to fraction form
    254,758.86/382,146.84 = 114,517.89/x
  3. Step 3: Cross multiply
    254,758.86x = 382,146.84 × 114,517.89
  4. Step 4: Simplify right side
    254,758.86x = 43,762,649,786.97
  5. Step 5: Solve for x
    x = 43,762,649,786.97/254,758.86
  6. Step 6: Final answer
    x = 171,780.68

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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.