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Finding the Fourth Proportional to 210,104.36, 289,942.16 and 114,609

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Solution

The fourth proportional to 210,104.36, 289,942.16 and 114,609 is: 158,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,104.36 : 289,942.16 = 114,609 : x
  2. Step 2: Convert to fraction form
    210,104.36/289,942.16 = 114,609/x
  3. Step 3: Cross multiply
    210,104.36x = 289,942.16 × 114,609
  4. Step 4: Simplify right side
    210,104.36x = 33,229,981,015.44
  5. Step 5: Solve for x
    x = 33,229,981,015.44/210,104.36
  6. Step 6: Final answer
    x = 158,159.41

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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.