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Finding the Fourth Proportional to 123,023, 184,592.86 and 73,201.48

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Solution

The fourth proportional to 123,023, 184,592.86 and 73,201.48 is: 109,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,023 : 184,592.86 = 73,201.48 : x
  2. Step 2: Convert to fraction form
    123,023/184,592.86 = 73,201.48/x
  3. Step 3: Cross multiply
    123,023x = 184,592.86 × 73,201.48
  4. Step 4: Simplify right side
    123,023x = 13,512,470,549.43
  5. Step 5: Solve for x
    x = 13,512,470,549.43/123,023
  6. Step 6: Final answer
    x = 109,836.95

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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.