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Finding the Fourth Proportional to 120,766.42, 166,623.80 and 75,490.46

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Solution

The fourth proportional to 120,766.42, 166,623.80 and 75,490.46 is: 104,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,766.42 : 166,623.80 = 75,490.46 : x
  2. Step 2: Convert to fraction form
    120,766.42/166,623.80 = 75,490.46/x
  3. Step 3: Cross multiply
    120,766.42x = 166,623.80 × 75,490.46
  4. Step 4: Simplify right side
    120,766.42x = 12,578,507,308.95
  5. Step 5: Solve for x
    x = 12,578,507,308.95/120,766.42
  6. Step 6: Final answer
    x = 104,155.67

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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.