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Finding the Fourth Proportional to 122,977.20, 184,465.80 and 73,210.80

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Solution

The fourth proportional to 122,977.20, 184,465.80 and 73,210.80 is: 109,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,977.20 : 184,465.80 = 73,210.80 : x
  2. Step 2: Convert to fraction form
    122,977.20/184,465.80 = 73,210.80/x
  3. Step 3: Cross multiply
    122,977.20x = 184,465.80 × 73,210.80
  4. Step 4: Simplify right side
    122,977.20x = 13,504,888,790.64
  5. Step 5: Solve for x
    x = 13,504,888,790.64/122,977.20
  6. Step 6: Final answer
    x = 109,816.20

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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.