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Finding the Fourth Proportional to 188,283.87, 282,365.80 and 61,894.86

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Solution

The fourth proportional to 188,283.87, 282,365.80 and 61,894.86 is: 92,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,283.87 : 282,365.80 = 61,894.86 : x
  2. Step 2: Convert to fraction form
    188,283.87/282,365.80 = 61,894.86/x
  3. Step 3: Cross multiply
    188,283.87x = 282,365.80 × 61,894.86
  4. Step 4: Simplify right side
    188,283.87x = 17,476,991,659.79
  5. Step 5: Solve for x
    x = 17,476,991,659.79/188,283.87
  6. Step 6: Final answer
    x = 92,822.56

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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.