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Finding the Fourth Proportional to 148,970.22, 205,568.19 and 85,306.38

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Solution

The fourth proportional to 148,970.22, 205,568.19 and 85,306.38 is: 117,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,970.22 : 205,568.19 = 85,306.38 : x
  2. Step 2: Convert to fraction form
    148,970.22/205,568.19 = 85,306.38/x
  3. Step 3: Cross multiply
    148,970.22x = 205,568.19 × 85,306.38
  4. Step 4: Simplify right side
    148,970.22x = 17,536,278,132.05
  5. Step 5: Solve for x
    x = 17,536,278,132.05/148,970.22
  6. Step 6: Final answer
    x = 117,716.67

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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.