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Finding the Fourth Proportional to 184,684.44, 255,294.90 and 164,739

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Solution

The fourth proportional to 184,684.44, 255,294.90 and 164,739 is: 227,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,684.44 : 255,294.90 = 164,739 : x
  2. Step 2: Convert to fraction form
    184,684.44/255,294.90 = 164,739/x
  3. Step 3: Cross multiply
    184,684.44x = 255,294.90 × 164,739
  4. Step 4: Simplify right side
    184,684.44x = 42,057,026,531.10
  5. Step 5: Solve for x
    x = 42,057,026,531.10/184,684.44
  6. Step 6: Final answer
    x = 227,723.71

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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.