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Finding the Fourth Proportional to 133,365, 200,049.42 and 34,869

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Solution

The fourth proportional to 133,365, 200,049.42 and 34,869 is: 52,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,365 : 200,049.42 = 34,869 : x
  2. Step 2: Convert to fraction form
    133,365/200,049.42 = 34,869/x
  3. Step 3: Cross multiply
    133,365x = 200,049.42 × 34,869
  4. Step 4: Simplify right side
    133,365x = 6,975,523,225.98
  5. Step 5: Solve for x
    x = 6,975,523,225.98/133,365
  6. Step 6: Final answer
    x = 52,304.00

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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.