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Finding the Fourth Proportional to 133,616, 200,435.84 and 35,120

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Solution

The fourth proportional to 133,616, 200,435.84 and 35,120 is: 52,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616 : 200,435.84 = 35,120 : x
  2. Step 2: Convert to fraction form
    133,616/200,435.84 = 35,120/x
  3. Step 3: Cross multiply
    133,616x = 200,435.84 × 35,120
  4. Step 4: Simplify right side
    133,616x = 7,039,306,700.80
  5. Step 5: Solve for x
    x = 7,039,306,700.80/133,616
  6. Step 6: Final answer
    x = 52,683.11

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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.