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Finding the Fourth Proportional to 102,168.14, 153,265.60 and 33,756.97

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Solution

The fourth proportional to 102,168.14, 153,265.60 and 33,756.97 is: 50,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,168.14 : 153,265.60 = 33,756.97 : x
  2. Step 2: Convert to fraction form
    102,168.14/153,265.60 = 33,756.97/x
  3. Step 3: Cross multiply
    102,168.14x = 153,265.60 × 33,756.97
  4. Step 4: Simplify right side
    102,168.14x = 5,173,782,261.23
  5. Step 5: Solve for x
    x = 5,173,782,261.23/102,168.14
  6. Step 6: Final answer
    x = 50,639.88

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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.