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Finding the Fourth Proportional to 184,682.44, 255,292.14 and 164,737

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Solution

The fourth proportional to 184,682.44, 255,292.14 and 164,737 is: 227,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,682.44 : 255,292.14 = 164,737 : x
  2. Step 2: Convert to fraction form
    184,682.44/255,292.14 = 164,737/x
  3. Step 3: Cross multiply
    184,682.44x = 255,292.14 × 164,737
  4. Step 4: Simplify right side
    184,682.44x = 42,056,061,267.18
  5. Step 5: Solve for x
    x = 42,056,061,267.18/184,682.44
  6. Step 6: Final answer
    x = 227,720.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.