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Finding the Fourth Proportional to 188,093.14, 281,941.35 and 61,700.38

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Solution

The fourth proportional to 188,093.14, 281,941.35 and 61,700.38 is: 92,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093.14 : 281,941.35 = 61,700.38 : x
  2. Step 2: Convert to fraction form
    188,093.14/281,941.35 = 61,700.38/x
  3. Step 3: Cross multiply
    188,093.14x = 281,941.35 × 61,700.38
  4. Step 4: Simplify right side
    188,093.14x = 17,395,888,432.71
  5. Step 5: Solve for x
    x = 17,395,888,432.71/188,093.14
  6. Step 6: Final answer
    x = 92,485.50

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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.