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Finding the Fourth Proportional to 211,624.84, 291,996.66 and 122,149

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Solution

The fourth proportional to 211,624.84, 291,996.66 and 122,149 is: 168,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,624.84 : 291,996.66 = 122,149 : x
  2. Step 2: Convert to fraction form
    211,624.84/291,996.66 = 122,149/x
  3. Step 3: Cross multiply
    211,624.84x = 291,996.66 × 122,149
  4. Step 4: Simplify right side
    211,624.84x = 35,667,100,022.34
  5. Step 5: Solve for x
    x = 35,667,100,022.34/211,624.84
  6. Step 6: Final answer
    x = 168,539.29

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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.