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Finding the Fourth Proportional to 188,339.82, 282,403.41 and 61,945.89

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Solution

The fourth proportional to 188,339.82, 282,403.41 and 61,945.89 is: 92,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,339.82 : 282,403.41 = 61,945.89 : x
  2. Step 2: Convert to fraction form
    188,339.82/282,403.41 = 61,945.89/x
  3. Step 3: Cross multiply
    188,339.82x = 282,403.41 × 61,945.89
  4. Step 4: Simplify right side
    188,339.82x = 17,493,730,571.48
  5. Step 5: Solve for x
    x = 17,493,730,571.48/188,339.82
  6. Step 6: Final answer
    x = 92,883.87

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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.