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Finding the Fourth Proportional to 120,842.40, 166,823.16 and 75,545.60

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Solution

The fourth proportional to 120,842.40, 166,823.16 and 75,545.60 is: 104,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842.40 : 166,823.16 = 75,545.60 : x
  2. Step 2: Convert to fraction form
    120,842.40/166,823.16 = 75,545.60/x
  3. Step 3: Cross multiply
    120,842.40x = 166,823.16 × 75,545.60
  4. Step 4: Simplify right side
    120,842.40x = 12,602,755,716.10
  5. Step 5: Solve for x
    x = 12,602,755,716.10/120,842.40
  6. Step 6: Final answer
    x = 104,290.84

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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.