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Finding the Fourth Proportional to 301,142.75, 415,574.15 and 165,173.99

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Solution

The fourth proportional to 301,142.75, 415,574.15 and 165,173.99 is: 227,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,142.75 : 415,574.15 = 165,173.99 : x
  2. Step 2: Convert to fraction form
    301,142.75/415,574.15 = 165,173.99/x
  3. Step 3: Cross multiply
    301,142.75x = 415,574.15 × 165,173.99
  4. Step 4: Simplify right side
    301,142.75x = 68,642,037,592.62
  5. Step 5: Solve for x
    x = 68,642,037,592.62/301,142.75
  6. Step 6: Final answer
    x = 227,938.54

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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.