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Finding the Fourth Proportional to 122,952.60, 184,169.70 and 109,819.80

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Solution

The fourth proportional to 122,952.60, 184,169.70 and 109,819.80 is: 164,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,952.60 : 184,169.70 = 109,819.80 : x
  2. Step 2: Convert to fraction form
    122,952.60/184,169.70 = 109,819.80/x
  3. Step 3: Cross multiply
    122,952.60x = 184,169.70 × 109,819.80
  4. Step 4: Simplify right side
    122,952.60x = 20,225,479,620.06
  5. Step 5: Solve for x
    x = 20,225,479,620.06/122,952.60
  6. Step 6: Final answer
    x = 164,498.19

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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.