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Finding the Fourth Proportional to 211,480.96, 291,816.82 and 120,842.80

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Solution

The fourth proportional to 211,480.96, 291,816.82 and 120,842.80 is: 166,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,480.96 : 291,816.82 = 120,842.80 : x
  2. Step 2: Convert to fraction form
    211,480.96/291,816.82 = 120,842.80/x
  3. Step 3: Cross multiply
    211,480.96x = 291,816.82 × 120,842.80
  4. Step 4: Simplify right side
    211,480.96x = 35,263,961,615.90
  5. Step 5: Solve for x
    x = 35,263,961,615.90/211,480.96
  6. Step 6: Final answer
    x = 166,747.69

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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.