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Finding the Fourth Proportional to 301,994.39, 416,741.64 and 166,027.35

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Solution

The fourth proportional to 301,994.39, 416,741.64 and 166,027.35 is: 229,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,994.39 : 416,741.64 = 166,027.35 : x
  2. Step 2: Convert to fraction form
    301,994.39/416,741.64 = 166,027.35/x
  3. Step 3: Cross multiply
    301,994.39x = 416,741.64 × 166,027.35
  4. Step 4: Simplify right side
    301,994.39x = 69,190,510,123.85
  5. Step 5: Solve for x
    x = 69,190,510,123.85/301,994.39
  6. Step 6: Final answer
    x = 229,111.91

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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.