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Finding the Fourth Proportional to 209,862.40, 289,601.67 and 114,367.03

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Solution

The fourth proportional to 209,862.40, 289,601.67 and 114,367.03 is: 157,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.40 : 289,601.67 = 114,367.03 : x
  2. Step 2: Convert to fraction form
    209,862.40/289,601.67 = 114,367.03/x
  3. Step 3: Cross multiply
    209,862.40x = 289,601.67 × 114,367.03
  4. Step 4: Simplify right side
    209,862.40x = 33,120,882,880.94
  5. Step 5: Solve for x
    x = 33,120,882,880.94/209,862.40
  6. Step 6: Final answer
    x = 157,821.90

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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.