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Finding the Fourth Proportional to 123,224.34, 184,809.27 and 34,453.98

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Solution

The fourth proportional to 123,224.34, 184,809.27 and 34,453.98 is: 51,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,224.34 : 184,809.27 = 34,453.98 : x
  2. Step 2: Convert to fraction form
    123,224.34/184,809.27 = 34,453.98/x
  3. Step 3: Cross multiply
    123,224.34x = 184,809.27 × 34,453.98
  4. Step 4: Simplify right side
    123,224.34x = 6,367,414,892.39
  5. Step 5: Solve for x
    x = 6,367,414,892.39/123,224.34
  6. Step 6: Final answer
    x = 51,673.35

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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.