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Finding the Fourth Proportional to 211,090.56, 291,290.40 and 120,450.72

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Solution

The fourth proportional to 211,090.56, 291,290.40 and 120,450.72 is: 166,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,090.56 : 291,290.40 = 120,450.72 : x
  2. Step 2: Convert to fraction form
    211,090.56/291,290.40 = 120,450.72/x
  3. Step 3: Cross multiply
    211,090.56x = 291,290.40 × 120,450.72
  4. Step 4: Simplify right side
    211,090.56x = 35,086,138,409.09
  5. Step 5: Solve for x
    x = 35,086,138,409.09/211,090.56
  6. Step 6: Final answer
    x = 166,213.68

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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.