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Finding the Fourth Proportional to 211,057.58, 291,257.25 and 114,259.27

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Solution

The fourth proportional to 211,057.58, 291,257.25 and 114,259.27 is: 157,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,057.58 : 291,257.25 = 114,259.27 : x
  2. Step 2: Convert to fraction form
    211,057.58/291,257.25 = 114,259.27/x
  3. Step 3: Cross multiply
    211,057.58x = 291,257.25 × 114,259.27
  4. Step 4: Simplify right side
    211,057.58x = 33,278,840,767.21
  5. Step 5: Solve for x
    x = 33,278,840,767.21/211,057.58
  6. Step 6: Final answer
    x = 157,676.60

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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.