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Finding the Fourth Proportional to 122,842.60, 184,004.70 and 109,709.80

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Solution

The fourth proportional to 122,842.60, 184,004.70 and 109,709.80 is: 164,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,842.60 : 184,004.70 = 109,709.80 : x
  2. Step 2: Convert to fraction form
    122,842.60/184,004.70 = 109,709.80/x
  3. Step 3: Cross multiply
    122,842.60x = 184,004.70 × 109,709.80
  4. Step 4: Simplify right side
    122,842.60x = 20,187,118,836.06
  5. Step 5: Solve for x
    x = 20,187,118,836.06/122,842.60
  6. Step 6: Final answer
    x = 164,333.21

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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.