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Finding the Fourth Proportional to 122,709.40, 184,064.10 and 43,826.20

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Solution

The fourth proportional to 122,709.40, 184,064.10 and 43,826.20 is: 65,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709.40 : 184,064.10 = 43,826.20 : x
  2. Step 2: Convert to fraction form
    122,709.40/184,064.10 = 43,826.20/x
  3. Step 3: Cross multiply
    122,709.40x = 184,064.10 × 43,826.20
  4. Step 4: Simplify right side
    122,709.40x = 8,066,830,059.42
  5. Step 5: Solve for x
    x = 8,066,830,059.42/122,709.40
  6. Step 6: Final answer
    x = 65,739.30

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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.