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Finding the Fourth Proportional to 301,738.04, 416,398.76 and 165,772.25

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Solution

The fourth proportional to 301,738.04, 416,398.76 and 165,772.25 is: 228,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.04 : 416,398.76 = 165,772.25 : x
  2. Step 2: Convert to fraction form
    301,738.04/416,398.76 = 165,772.25/x
  3. Step 3: Cross multiply
    301,738.04x = 416,398.76 × 165,772.25
  4. Step 4: Simplify right side
    301,738.04x = 69,027,356,431.56
  5. Step 5: Solve for x
    x = 69,027,356,431.56/301,738.04
  6. Step 6: Final answer
    x = 228,765.84

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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.