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Finding the Fourth Proportional to 211,231.40, 291,498.90 and 115,741.16

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Solution

The fourth proportional to 211,231.40, 291,498.90 and 115,741.16 is: 159,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,231.40 : 291,498.90 = 115,741.16 : x
  2. Step 2: Convert to fraction form
    211,231.40/291,498.90 = 115,741.16/x
  3. Step 3: Cross multiply
    211,231.40x = 291,498.90 × 115,741.16
  4. Step 4: Simplify right side
    211,231.40x = 33,738,420,824.72
  5. Step 5: Solve for x
    x = 33,738,420,824.72/211,231.40
  6. Step 6: Final answer
    x = 159,722.56

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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.