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Finding the Fourth Proportional to 211,476.44, 317,114.22 and 122,757.14

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Solution

The fourth proportional to 211,476.44, 317,114.22 and 122,757.14 is: 184,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,476.44 : 317,114.22 = 122,757.14 : x
  2. Step 2: Convert to fraction form
    211,476.44/317,114.22 = 122,757.14/x
  3. Step 3: Cross multiply
    211,476.44x = 317,114.22 × 122,757.14
  4. Step 4: Simplify right side
    211,476.44x = 38,928,034,700.53
  5. Step 5: Solve for x
    x = 38,928,034,700.53/211,476.44
  6. Step 6: Final answer
    x = 184,077.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.