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Finding the Fourth Proportional to 289,171.23, 399,056.25 and 161,846.82

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Solution

The fourth proportional to 289,171.23, 399,056.25 and 161,846.82 is: 223,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.23 : 399,056.25 = 161,846.82 : x
  2. Step 2: Convert to fraction form
    289,171.23/399,056.25 = 161,846.82/x
  3. Step 3: Cross multiply
    289,171.23x = 399,056.25 × 161,846.82
  4. Step 4: Simplify right side
    289,171.23x = 64,585,985,063.63
  5. Step 5: Solve for x
    x = 64,585,985,063.63/289,171.23
  6. Step 6: Final answer
    x = 223,348.59

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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.