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Finding the Fourth Proportional to 133,357.20, 200,035.80 and 54,419.60

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Solution

The fourth proportional to 133,357.20, 200,035.80 and 54,419.60 is: 81,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,357.20 : 200,035.80 = 54,419.60 : x
  2. Step 2: Convert to fraction form
    133,357.20/200,035.80 = 54,419.60/x
  3. Step 3: Cross multiply
    133,357.20x = 200,035.80 × 54,419.60
  4. Step 4: Simplify right side
    133,357.20x = 10,885,868,221.68
  5. Step 5: Solve for x
    x = 10,885,868,221.68/133,357.20
  6. Step 6: Final answer
    x = 81,629.40

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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.