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Finding the Fourth Proportional to 209,435.32, 289,016.76 and 116,297.92

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Solution

The fourth proportional to 209,435.32, 289,016.76 and 116,297.92 is: 160,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.32 : 289,016.76 = 116,297.92 : x
  2. Step 2: Convert to fraction form
    209,435.32/289,016.76 = 116,297.92/x
  3. Step 3: Cross multiply
    209,435.32x = 289,016.76 × 116,297.92
  4. Step 4: Simplify right side
    209,435.32x = 33,612,048,033.14
  5. Step 5: Solve for x
    x = 33,612,048,033.14/209,435.32
  6. Step 6: Final answer
    x = 160,488.92

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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.