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Finding the Fourth Proportional to 122,814.60, 184,221.90 and 66,827.40

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Solution

The fourth proportional to 122,814.60, 184,221.90 and 66,827.40 is: 100,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814.60 : 184,221.90 = 66,827.40 : x
  2. Step 2: Convert to fraction form
    122,814.60/184,221.90 = 66,827.40/x
  3. Step 3: Cross multiply
    122,814.60x = 184,221.90 × 66,827.40
  4. Step 4: Simplify right side
    122,814.60x = 12,311,070,600.06
  5. Step 5: Solve for x
    x = 12,311,070,600.06/122,814.60
  6. Step 6: Final answer
    x = 100,241.10

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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.