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Finding the Fourth Proportional to 188,512.98, 282,766.97 and 46,359.48

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Solution

The fourth proportional to 188,512.98, 282,766.97 and 46,359.48 is: 69,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,512.98 : 282,766.97 = 46,359.48 : x
  2. Step 2: Convert to fraction form
    188,512.98/282,766.97 = 46,359.48/x
  3. Step 3: Cross multiply
    188,512.98x = 282,766.97 × 46,359.48
  4. Step 4: Simplify right side
    188,512.98x = 13,108,929,458.58
  5. Step 5: Solve for x
    x = 13,108,929,458.58/188,512.98
  6. Step 6: Final answer
    x = 69,538.60

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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.