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Finding the Fourth Proportional to 301,872.36, 416,581.74 and 165,907.56

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Solution

The fourth proportional to 301,872.36, 416,581.74 and 165,907.56 is: 228,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872.36 : 416,581.74 = 165,907.56 : x
  2. Step 2: Convert to fraction form
    301,872.36/416,581.74 = 165,907.56/x
  3. Step 3: Cross multiply
    301,872.36x = 416,581.74 × 165,907.56
  4. Step 4: Simplify right side
    301,872.36x = 69,114,060,023.95
  5. Step 5: Solve for x
    x = 69,114,060,023.95/301,872.36
  6. Step 6: Final answer
    x = 228,951.27

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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.