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Finding the Fourth Proportional to 139,854.78, 193,000.86 and 82,495.44

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Solution

The fourth proportional to 139,854.78, 193,000.86 and 82,495.44 is: 113,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,854.78 : 193,000.86 = 82,495.44 : x
  2. Step 2: Convert to fraction form
    139,854.78/193,000.86 = 82,495.44/x
  3. Step 3: Cross multiply
    139,854.78x = 193,000.86 × 82,495.44
  4. Step 4: Simplify right side
    139,854.78x = 15,921,690,866.08
  5. Step 5: Solve for x
    x = 15,921,690,866.08/139,854.78
  6. Step 6: Final answer
    x = 113,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.