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Finding the Fourth Proportional to 188,093.23, 281,941.49 and 61,700.47

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Solution

The fourth proportional to 188,093.23, 281,941.49 and 61,700.47 is: 92,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093.23 : 281,941.49 = 61,700.47 : x
  2. Step 2: Convert to fraction form
    188,093.23/281,941.49 = 61,700.47/x
  3. Step 3: Cross multiply
    188,093.23x = 281,941.49 × 61,700.47
  4. Step 4: Simplify right side
    188,093.23x = 17,395,922,445.50
  5. Step 5: Solve for x
    x = 17,395,922,445.50/188,093.23
  6. Step 6: Final answer
    x = 92,485.64

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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.