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Finding the Fourth Proportional to 133,395.42, 200,093.48 and 54,509.66

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Solution

The fourth proportional to 133,395.42, 200,093.48 and 54,509.66 is: 81,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,395.42 : 200,093.48 = 54,509.66 : x
  2. Step 2: Convert to fraction form
    133,395.42/200,093.48 = 54,509.66/x
  3. Step 3: Cross multiply
    133,395.42x = 200,093.48 × 54,509.66
  4. Step 4: Simplify right side
    133,395.42x = 10,907,027,563.02
  5. Step 5: Solve for x
    x = 10,907,027,563.02/133,395.42
  6. Step 6: Final answer
    x = 81,764.63

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1.5x scale

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.