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Finding the Fourth Proportional to 122,978.52, 184,234.44 and 72,952.92

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Solution

The fourth proportional to 122,978.52, 184,234.44 and 72,952.92 is: 109,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.52 : 184,234.44 = 72,952.92 : x
  2. Step 2: Convert to fraction form
    122,978.52/184,234.44 = 72,952.92/x
  3. Step 3: Cross multiply
    122,978.52x = 184,234.44 × 72,952.92
  4. Step 4: Simplify right side
    122,978.52x = 13,440,440,362.56
  5. Step 5: Solve for x
    x = 13,440,440,362.56/122,978.52
  6. Step 6: Final answer
    x = 109,290.96

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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.