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Finding the Fourth Proportional to 122,977.85, 184,311.36 and 65,909.93

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Solution

The fourth proportional to 122,977.85, 184,311.36 and 65,909.93 is: 98,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,977.85 : 184,311.36 = 65,909.93 : x
  2. Step 2: Convert to fraction form
    122,977.85/184,311.36 = 65,909.93/x
  3. Step 3: Cross multiply
    122,977.85x = 184,311.36 × 65,909.93
  4. Step 4: Simplify right side
    122,977.85x = 12,147,947,914.25
  5. Step 5: Solve for x
    x = 12,147,947,914.25/122,977.85
  6. Step 6: Final answer
    x = 98,781.59

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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.