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Finding the Fourth Proportional to 123,077, 184,633.32 and 38,808.56

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Solution

The fourth proportional to 123,077, 184,633.32 and 38,808.56 is: 58,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,077 : 184,633.32 = 38,808.56 : x
  2. Step 2: Convert to fraction form
    123,077/184,633.32 = 38,808.56/x
  3. Step 3: Cross multiply
    123,077x = 184,633.32 × 38,808.56
  4. Step 4: Simplify right side
    123,077x = 7,165,353,277.22
  5. Step 5: Solve for x
    x = 7,165,353,277.22/123,077
  6. Step 6: Final answer
    x = 58,218.46

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1.5x scale

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.