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Finding the Fourth Proportional to 222,842.34, 334,315.44 and 122,978.52

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Solution

The fourth proportional to 222,842.34, 334,315.44 and 122,978.52 is: 184,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,842.34 : 334,315.44 = 122,978.52 : x
  2. Step 2: Convert to fraction form
    222,842.34/334,315.44 = 122,978.52/x
  3. Step 3: Cross multiply
    222,842.34x = 334,315.44 × 122,978.52
  4. Step 4: Simplify right side
    222,842.34x = 41,113,618,024.35
  5. Step 5: Solve for x
    x = 41,113,618,024.35/222,842.34
  6. Step 6: Final answer
    x = 184,496.44

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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.