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Finding the Fourth Proportional to 102,166.14, 153,262.60 and 33,754.97

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Solution

The fourth proportional to 102,166.14, 153,262.60 and 33,754.97 is: 50,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.14 : 153,262.60 = 33,754.97 : x
  2. Step 2: Convert to fraction form
    102,166.14/153,262.60 = 33,754.97/x
  3. Step 3: Cross multiply
    102,166.14x = 153,262.60 × 33,754.97
  4. Step 4: Simplify right side
    102,166.14x = 5,173,373,698.81
  5. Step 5: Solve for x
    x = 5,173,373,698.81/102,166.14
  6. Step 6: Final answer
    x = 50,636.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.