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Finding the Fourth Proportional to 301,523.32, 416,099.28 and 165,556.09

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Solution

The fourth proportional to 301,523.32, 416,099.28 and 165,556.09 is: 228,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,523.32 : 416,099.28 = 165,556.09 : x
  2. Step 2: Convert to fraction form
    301,523.32/416,099.28 = 165,556.09/x
  3. Step 3: Cross multiply
    301,523.32x = 416,099.28 × 165,556.09
  4. Step 4: Simplify right side
    301,523.32x = 68,887,767,717.76
  5. Step 5: Solve for x
    x = 68,887,767,717.76/301,523.32
  6. Step 6: Final answer
    x = 228,465.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.