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Finding the Fourth Proportional to 209,626.28, 289,286.36 and 120,185

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Solution

The fourth proportional to 209,626.28, 289,286.36 and 120,185 is: 165,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,626.28 : 289,286.36 = 120,185 : x
  2. Step 2: Convert to fraction form
    209,626.28/289,286.36 = 120,185/x
  3. Step 3: Cross multiply
    209,626.28x = 289,286.36 × 120,185
  4. Step 4: Simplify right side
    209,626.28x = 34,767,881,176.60
  5. Step 5: Solve for x
    x = 34,767,881,176.60/209,626.28
  6. Step 6: Final answer
    x = 165,856.50

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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.