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Finding the Fourth Proportional to 184,084, 275,774.20 and 154,288.96

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Solution

The fourth proportional to 184,084, 275,774.20 and 154,288.96 is: 231,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,084 : 275,774.20 = 154,288.96 : x
  2. Step 2: Convert to fraction form
    184,084/275,774.20 = 154,288.96/x
  3. Step 3: Cross multiply
    184,084x = 275,774.20 × 154,288.96
  4. Step 4: Simplify right side
    184,084x = 42,548,914,512.83
  5. Step 5: Solve for x
    x = 42,548,914,512.83/184,084
  6. Step 6: Final answer
    x = 231,138.58

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Why These Related Problems?

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