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Finding the Fourth Proportional to 133,686, 200,395.56 and 66,922.32

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Solution

The fourth proportional to 133,686, 200,395.56 and 66,922.32 is: 100,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686 : 200,395.56 = 66,922.32 : x
  2. Step 2: Convert to fraction form
    133,686/200,395.56 = 66,922.32/x
  3. Step 3: Cross multiply
    133,686x = 200,395.56 × 66,922.32
  4. Step 4: Simplify right side
    133,686x = 13,410,935,792.90
  5. Step 5: Solve for x
    x = 13,410,935,792.90/133,686
  6. Step 6: Final answer
    x = 100,316.68

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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.