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Finding the Fourth Proportional to 149,441.34, 206,226.34 and 85,774.12

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Solution

The fourth proportional to 149,441.34, 206,226.34 and 85,774.12 is: 118,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,441.34 : 206,226.34 = 85,774.12 : x
  2. Step 2: Convert to fraction form
    149,441.34/206,226.34 = 85,774.12/x
  3. Step 3: Cross multiply
    149,441.34x = 206,226.34 × 85,774.12
  4. Step 4: Simplify right side
    149,441.34x = 17,688,882,834.32
  5. Step 5: Solve for x
    x = 17,688,882,834.32/149,441.34
  6. Step 6: Final answer
    x = 118,366.73

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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.