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Finding the Fourth Proportional to 301,264.22, 415,744.40 and 165,299.03

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Solution

The fourth proportional to 301,264.22, 415,744.40 and 165,299.03 is: 228,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264.22 : 415,744.40 = 165,299.03 : x
  2. Step 2: Convert to fraction form
    301,264.22/415,744.40 = 165,299.03/x
  3. Step 3: Cross multiply
    301,264.22x = 415,744.40 × 165,299.03
  4. Step 4: Simplify right side
    301,264.22x = 68,722,143,142.71
  5. Step 5: Solve for x
    x = 68,722,143,142.71/301,264.22
  6. Step 6: Final answer
    x = 228,112.53

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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.