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Finding the Fourth Proportional to 209,862.87, 289,611.15 and 114,369.54

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Solution

The fourth proportional to 209,862.87, 289,611.15 and 114,369.54 is: 157,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.87 : 289,611.15 = 114,369.54 : x
  2. Step 2: Convert to fraction form
    209,862.87/289,611.15 = 114,369.54/x
  3. Step 3: Cross multiply
    209,862.87x = 289,611.15 × 114,369.54
  4. Step 4: Simplify right side
    209,862.87x = 33,122,694,004.37
  5. Step 5: Solve for x
    x = 33,122,694,004.37/209,862.87
  6. Step 6: Final answer
    x = 157,830.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.