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Finding the Fourth Proportional to 209,863.60, 289,578.66 and 117,964.76

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Solution

The fourth proportional to 209,863.60, 289,578.66 and 117,964.76 is: 162,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.60 : 289,578.66 = 117,964.76 : x
  2. Step 2: Convert to fraction form
    209,863.60/289,578.66 = 117,964.76/x
  3. Step 3: Cross multiply
    209,863.60x = 289,578.66 × 117,964.76
  4. Step 4: Simplify right side
    209,863.60x = 34,160,077,128.02
  5. Step 5: Solve for x
    x = 34,160,077,128.02/209,863.60
  6. Step 6: Final answer
    x = 162,772.76

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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.