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Finding the Fourth Proportional to 123,083, 184,642.32 and 38,814.56

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Solution

The fourth proportional to 123,083, 184,642.32 and 38,814.56 is: 58,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,083 : 184,642.32 = 38,814.56 : x
  2. Step 2: Convert to fraction form
    123,083/184,642.32 = 38,814.56/x
  3. Step 3: Cross multiply
    123,083x = 184,642.32 × 38,814.56
  4. Step 4: Simplify right side
    123,083x = 7,166,810,408.18
  5. Step 5: Solve for x
    x = 7,166,810,408.18/123,083
  6. Step 6: Final answer
    x = 58,227.46

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