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Finding the Fourth Proportional to 120,513.81, 166,234.03 and 77,549.39

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Solution

The fourth proportional to 120,513.81, 166,234.03 and 77,549.39 is: 106,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,513.81 : 166,234.03 = 77,549.39 : x
  2. Step 2: Convert to fraction form
    120,513.81/166,234.03 = 77,549.39/x
  3. Step 3: Cross multiply
    120,513.81x = 166,234.03 × 77,549.39
  4. Step 4: Simplify right side
    120,513.81x = 12,891,347,623.74
  5. Step 5: Solve for x
    x = 12,891,347,623.74/120,513.81
  6. Step 6: Final answer
    x = 106,969.88

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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.