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Finding the Fourth Proportional to 117,889.22, 176,833.83 and 29,144.40

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Solution

The fourth proportional to 117,889.22, 176,833.83 and 29,144.40 is: 43,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889.22 : 176,833.83 = 29,144.40 : x
  2. Step 2: Convert to fraction form
    117,889.22/176,833.83 = 29,144.40/x
  3. Step 3: Cross multiply
    117,889.22x = 176,833.83 × 29,144.40
  4. Step 4: Simplify right side
    117,889.22x = 5,153,715,729.33
  5. Step 5: Solve for x
    x = 5,153,715,729.33/117,889.22
  6. Step 6: Final answer
    x = 43,716.60

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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.