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Finding the Fourth Proportional to 122,762.75, 184,143.62 and 34,016

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Solution

The fourth proportional to 122,762.75, 184,143.62 and 34,016 is: 51,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,762.75 : 184,143.62 = 34,016 : x
  2. Step 2: Convert to fraction form
    122,762.75/184,143.62 = 34,016/x
  3. Step 3: Cross multiply
    122,762.75x = 184,143.62 × 34,016
  4. Step 4: Simplify right side
    122,762.75x = 6,263,829,207.84
  5. Step 5: Solve for x
    x = 6,263,829,207.84/122,762.75
  6. Step 6: Final answer
    x = 51,023.86

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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.