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Finding the Fourth Proportional to 123,464.72, 184,112.86 and 122,342

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Solution

The fourth proportional to 123,464.72, 184,112.86 and 122,342 is: 182,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,464.72 : 184,112.86 = 122,342 : x
  2. Step 2: Convert to fraction form
    123,464.72/184,112.86 = 122,342/x
  3. Step 3: Cross multiply
    123,464.72x = 184,112.86 × 122,342
  4. Step 4: Simplify right side
    123,464.72x = 22,524,735,518.12
  5. Step 5: Solve for x
    x = 22,524,735,518.12/123,464.72
  6. Step 6: Final answer
    x = 182,438.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.