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Finding the Fourth Proportional to 211,956, 317,518.44 and 123,023.04

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Solution

The fourth proportional to 211,956, 317,518.44 and 123,023.04 is: 184,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,956 : 317,518.44 = 123,023.04 : x
  2. Step 2: Convert to fraction form
    211,956/317,518.44 = 123,023.04/x
  3. Step 3: Cross multiply
    211,956x = 317,518.44 × 123,023.04
  4. Step 4: Simplify right side
    211,956x = 39,062,083,744.86
  5. Step 5: Solve for x
    x = 39,062,083,744.86/211,956
  6. Step 6: Final answer
    x = 184,293.36

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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.