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Finding the Fourth Proportional to 229,865.42, 344,060.62 and 122,982

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Solution

The fourth proportional to 229,865.42, 344,060.62 and 122,982 is: 184,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,865.42 : 344,060.62 = 122,982 : x
  2. Step 2: Convert to fraction form
    229,865.42/344,060.62 = 122,982/x
  3. Step 3: Cross multiply
    229,865.42x = 344,060.62 × 122,982
  4. Step 4: Simplify right side
    229,865.42x = 42,313,263,168.84
  5. Step 5: Solve for x
    x = 42,313,263,168.84/229,865.42
  6. Step 6: Final answer
    x = 184,078.42

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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.