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Finding the Fourth Proportional to 122,993.10, 184,489.65 and 112,106.70

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Solution

The fourth proportional to 122,993.10, 184,489.65 and 112,106.70 is: 168,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,993.10 : 184,489.65 = 112,106.70 : x
  2. Step 2: Convert to fraction form
    122,993.10/184,489.65 = 112,106.70/x
  3. Step 3: Cross multiply
    122,993.10x = 184,489.65 × 112,106.70
  4. Step 4: Simplify right side
    122,993.10x = 20,682,525,845.66
  5. Step 5: Solve for x
    x = 20,682,525,845.66/122,993.10
  6. Step 6: Final answer
    x = 168,160.05

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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.