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Finding the Fourth Proportional to 209,508, 289,121.04 and 120,084

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Solution

The fourth proportional to 209,508, 289,121.04 and 120,084 is: 165,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,508 : 289,121.04 = 120,084 : x
  2. Step 2: Convert to fraction form
    209,508/289,121.04 = 120,084/x
  3. Step 3: Cross multiply
    209,508x = 289,121.04 × 120,084
  4. Step 4: Simplify right side
    209,508x = 34,718,810,967.36
  5. Step 5: Solve for x
    x = 34,718,810,967.36/209,508
  6. Step 6: Final answer
    x = 165,715.92

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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.