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Finding the Fourth Proportional to 133,669.16, 200,503.69 and 33,829.86

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Solution

The fourth proportional to 133,669.16, 200,503.69 and 33,829.86 is: 50,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,669.16 : 200,503.69 = 33,829.86 : x
  2. Step 2: Convert to fraction form
    133,669.16/200,503.69 = 33,829.86/x
  3. Step 3: Cross multiply
    133,669.16x = 200,503.69 × 33,829.86
  4. Step 4: Simplify right side
    133,669.16x = 6,783,011,593.03
  5. Step 5: Solve for x
    x = 6,783,011,593.03/133,669.16
  6. Step 6: Final answer
    x = 50,744.78

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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.