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Finding the Fourth Proportional to 211,144.35, 291,383.94 and 120,498.51

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Solution

The fourth proportional to 211,144.35, 291,383.94 and 120,498.51 is: 166,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.35 : 291,383.94 = 120,498.51 : x
  2. Step 2: Convert to fraction form
    211,144.35/291,383.94 = 120,498.51/x
  3. Step 3: Cross multiply
    211,144.35x = 291,383.94 × 120,498.51
  4. Step 4: Simplify right side
    211,144.35x = 35,111,330,005.44
  5. Step 5: Solve for x
    x = 35,111,330,005.44/211,144.35
  6. Step 6: Final answer
    x = 166,290.64

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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.