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Finding the Fourth Proportional to 301,300.95, 415,821.60 and 165,361.13

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Solution

The fourth proportional to 301,300.95, 415,821.60 and 165,361.13 is: 228,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,300.95 : 415,821.60 = 165,361.13 : x
  2. Step 2: Convert to fraction form
    301,300.95/415,821.60 = 165,361.13/x
  3. Step 3: Cross multiply
    301,300.95x = 415,821.60 × 165,361.13
  4. Step 4: Simplify right side
    301,300.95x = 68,760,727,575.30
  5. Step 5: Solve for x
    x = 68,760,727,575.30/301,300.95
  6. Step 6: Final answer
    x = 228,212.78

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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.