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Finding the Fourth Proportional to 133,548.64, 200,322.19 and 33,708.42

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Solution

The fourth proportional to 133,548.64, 200,322.19 and 33,708.42 is: 50,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,548.64 : 200,322.19 = 33,708.42 : x
  2. Step 2: Convert to fraction form
    133,548.64/200,322.19 = 33,708.42/x
  3. Step 3: Cross multiply
    133,548.64x = 200,322.19 × 33,708.42
  4. Step 4: Simplify right side
    133,548.64x = 6,752,544,465.20
  5. Step 5: Solve for x
    x = 6,752,544,465.20/133,548.64
  6. Step 6: Final answer
    x = 50,562.43

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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.