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Finding the Fourth Proportional to 184,020.12, 275,678.20 and 154,225

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Solution

The fourth proportional to 184,020.12, 275,678.20 and 154,225 is: 231,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,020.12 : 275,678.20 = 154,225 : x
  2. Step 2: Convert to fraction form
    184,020.12/275,678.20 = 154,225/x
  3. Step 3: Cross multiply
    184,020.12x = 275,678.20 × 154,225
  4. Step 4: Simplify right side
    184,020.12x = 42,516,470,395
  5. Step 5: Solve for x
    x = 42,516,470,395/184,020.12
  6. Step 6: Final answer
    x = 231,042.51

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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.