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Finding the Fourth Proportional to 122,938.84, 184,021.08 and 84,764.80

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Solution

The fourth proportional to 122,938.84, 184,021.08 and 84,764.80 is: 126,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,938.84 : 184,021.08 = 84,764.80 : x
  2. Step 2: Convert to fraction form
    122,938.84/184,021.08 = 84,764.80/x
  3. Step 3: Cross multiply
    122,938.84x = 184,021.08 × 84,764.80
  4. Step 4: Simplify right side
    122,938.84x = 15,598,510,041.98
  5. Step 5: Solve for x
    x = 15,598,510,041.98/122,938.84
  6. Step 6: Final answer
    x = 126,880.24

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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.