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Finding the Fourth Proportional to 135,208.34, 186,571.32 and 74,770.76

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Solution

The fourth proportional to 135,208.34, 186,571.32 and 74,770.76 is: 103,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,208.34 : 186,571.32 = 74,770.76 : x
  2. Step 2: Convert to fraction form
    135,208.34/186,571.32 = 74,770.76/x
  3. Step 3: Cross multiply
    135,208.34x = 186,571.32 × 74,770.76
  4. Step 4: Simplify right side
    135,208.34x = 13,950,079,576.64
  5. Step 5: Solve for x
    x = 13,950,079,576.64/135,208.34
  6. Step 6: Final answer
    x = 103,174.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.