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Finding the Fourth Proportional to 193,339.92, 290,115.60 and 75,015.94

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Solution

The fourth proportional to 193,339.92, 290,115.60 and 75,015.94 is: 112,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,339.92 : 290,115.60 = 75,015.94 : x
  2. Step 2: Convert to fraction form
    193,339.92/290,115.60 = 75,015.94/x
  3. Step 3: Cross multiply
    193,339.92x = 290,115.60 × 75,015.94
  4. Step 4: Simplify right side
    193,339.92x = 21,763,294,442.66
  5. Step 5: Solve for x
    x = 21,763,294,442.66/193,339.92
  6. Step 6: Final answer
    x = 112,564.93

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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.