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Finding the Fourth Proportional to 189,101.88, 283,751.64 and 122,524.80

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Solution

The fourth proportional to 189,101.88, 283,751.64 and 122,524.80 is: 183,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,101.88 : 283,751.64 = 122,524.80 : x
  2. Step 2: Convert to fraction form
    189,101.88/283,751.64 = 122,524.80/x
  3. Step 3: Cross multiply
    189,101.88x = 283,751.64 × 122,524.80
  4. Step 4: Simplify right side
    189,101.88x = 34,766,612,940.67
  5. Step 5: Solve for x
    x = 34,766,612,940.67/189,101.88
  6. Step 6: Final answer
    x = 183,851.23

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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.