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Finding the Fourth Proportional to 120,993.40, 181,378.32 and 64,872.55

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Solution

The fourth proportional to 120,993.40, 181,378.32 and 64,872.55 is: 97,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.40 : 181,378.32 = 64,872.55 : x
  2. Step 2: Convert to fraction form
    120,993.40/181,378.32 = 64,872.55/x
  3. Step 3: Cross multiply
    120,993.40x = 181,378.32 × 64,872.55
  4. Step 4: Simplify right side
    120,993.40x = 11,766,474,133.12
  5. Step 5: Solve for x
    x = 11,766,474,133.12/120,993.40
  6. Step 6: Final answer
    x = 97,248.89

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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.