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Finding the Fourth Proportional to 133,843.80, 184,704.75 and 77,255.13

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Solution

The fourth proportional to 133,843.80, 184,704.75 and 77,255.13 is: 106,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.80 : 184,704.75 = 77,255.13 : x
  2. Step 2: Convert to fraction form
    133,843.80/184,704.75 = 77,255.13/x
  3. Step 3: Cross multiply
    133,843.80x = 184,704.75 × 77,255.13
  4. Step 4: Simplify right side
    133,843.80x = 14,269,389,741.49
  5. Step 5: Solve for x
    x = 14,269,389,741.49/133,843.80
  6. Step 6: Final answer
    x = 106,612.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.