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Finding the Fourth Proportional to 188,282.87, 282,364.31 and 61,893.86

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Solution

The fourth proportional to 188,282.87, 282,364.31 and 61,893.86 is: 92,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.87 : 282,364.31 = 61,893.86 : x
  2. Step 2: Convert to fraction form
    188,282.87/282,364.31 = 61,893.86/x
  3. Step 3: Cross multiply
    188,282.87x = 282,364.31 × 61,893.86
  4. Step 4: Simplify right side
    188,282.87x = 17,476,615,350.85
  5. Step 5: Solve for x
    x = 17,476,615,350.85/188,282.87
  6. Step 6: Final answer
    x = 92,821.06

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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.