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Finding the Fourth Proportional to 210,012.75, 289,824.89 and 119,372.54

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Solution

The fourth proportional to 210,012.75, 289,824.89 and 119,372.54 is: 164,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012.75 : 289,824.89 = 119,372.54 : x
  2. Step 2: Convert to fraction form
    210,012.75/289,824.89 = 119,372.54/x
  3. Step 3: Cross multiply
    210,012.75x = 289,824.89 × 119,372.54
  4. Step 4: Simplify right side
    210,012.75x = 34,597,131,228.53
  5. Step 5: Solve for x
    x = 34,597,131,228.53/210,012.75
  6. Step 6: Final answer
    x = 164,738.24

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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.