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Finding the Fourth Proportional to 133,946, 200,922.84 and 35,450

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Solution

The fourth proportional to 133,946, 200,922.84 and 35,450 is: 53,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,946 : 200,922.84 = 35,450 : x
  2. Step 2: Convert to fraction form
    133,946/200,922.84 = 35,450/x
  3. Step 3: Cross multiply
    133,946x = 200,922.84 × 35,450
  4. Step 4: Simplify right side
    133,946x = 7,122,714,678
  5. Step 5: Solve for x
    x = 7,122,714,678/133,946
  6. Step 6: Final answer
    x = 53,176.02

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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.