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Finding the Fourth Proportional to 116,392.47, 174,244.24 and 71,876.09

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Solution

The fourth proportional to 116,392.47, 174,244.24 and 71,876.09 is: 107,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,392.47 : 174,244.24 = 71,876.09 : x
  2. Step 2: Convert to fraction form
    116,392.47/174,244.24 = 71,876.09/x
  3. Step 3: Cross multiply
    116,392.47x = 174,244.24 × 71,876.09
  4. Step 4: Simplify right side
    116,392.47x = 12,523,994,676.22
  5. Step 5: Solve for x
    x = 12,523,994,676.22/116,392.47
  6. Step 6: Final answer
    x = 107,601.42

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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.