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Finding the Fourth Proportional to 133,512.81, 200,268.70 and 54,627.01

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Solution

The fourth proportional to 133,512.81, 200,268.70 and 54,627.01 is: 81,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,512.81 : 200,268.70 = 54,627.01 : x
  2. Step 2: Convert to fraction form
    133,512.81/200,268.70 = 54,627.01/x
  3. Step 3: Cross multiply
    133,512.81x = 200,268.70 × 54,627.01
  4. Step 4: Simplify right side
    133,512.81x = 10,940,080,141.02
  5. Step 5: Solve for x
    x = 10,940,080,141.02/133,512.81
  6. Step 6: Final answer
    x = 81,940.31

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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.