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Finding the Fourth Proportional to 209,706.09, 289,397.70 and 114,212.71

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Solution

The fourth proportional to 209,706.09, 289,397.70 and 114,212.71 is: 157,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,706.09 : 289,397.70 = 114,212.71 : x
  2. Step 2: Convert to fraction form
    209,706.09/289,397.70 = 114,212.71/x
  3. Step 3: Cross multiply
    209,706.09x = 289,397.70 × 114,212.71
  4. Step 4: Simplify right side
    209,706.09x = 33,052,895,584.77
  5. Step 5: Solve for x
    x = 33,052,895,584.77/209,706.09
  6. Step 6: Final answer
    x = 157,615.33

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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.