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Finding the Fourth Proportional to 122,976.94, 184,048.74 and 75,622.01

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Solution

The fourth proportional to 122,976.94, 184,048.74 and 75,622.01 is: 113,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,976.94 : 184,048.74 = 75,622.01 : x
  2. Step 2: Convert to fraction form
    122,976.94/184,048.74 = 75,622.01/x
  3. Step 3: Cross multiply
    122,976.94x = 184,048.74 × 75,622.01
  4. Step 4: Simplify right side
    122,976.94x = 13,918,136,816.46
  5. Step 5: Solve for x
    x = 13,918,136,816.46/122,976.94
  6. Step 6: Final answer
    x = 113,176.80

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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.