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Finding the Fourth Proportional to 209,705.09, 289,396.32 and 114,211.71

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Solution

The fourth proportional to 209,705.09, 289,396.32 and 114,211.71 is: 157,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,705.09 : 289,396.32 = 114,211.71 : x
  2. Step 2: Convert to fraction form
    209,705.09/289,396.32 = 114,211.71/x
  3. Step 3: Cross multiply
    209,705.09x = 289,396.32 × 114,211.71
  4. Step 4: Simplify right side
    209,705.09x = 33,052,448,574.91
  5. Step 5: Solve for x
    x = 33,052,448,574.91/209,705.09
  6. Step 6: Final answer
    x = 157,613.96

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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.