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Finding the Fourth Proportional to 211,274.67, 291,586.97 and 120,610.16

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Solution

The fourth proportional to 211,274.67, 291,586.97 and 120,610.16 is: 166,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,274.67 : 291,586.97 = 120,610.16 : x
  2. Step 2: Convert to fraction form
    211,274.67/291,586.97 = 120,610.16/x
  3. Step 3: Cross multiply
    211,274.67x = 291,586.97 × 120,610.16
  4. Step 4: Simplify right side
    211,274.67x = 35,168,351,105.62
  5. Step 5: Solve for x
    x = 35,168,351,105.62/211,274.67
  6. Step 6: Final answer
    x = 166,457.96

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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.