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Finding the Fourth Proportional to 133,708.60, 200,465.70 and 54,782.20

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Solution

The fourth proportional to 133,708.60, 200,465.70 and 54,782.20 is: 82,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,708.60 : 200,465.70 = 54,782.20 : x
  2. Step 2: Convert to fraction form
    133,708.60/200,465.70 = 54,782.20/x
  3. Step 3: Cross multiply
    133,708.60x = 200,465.70 × 54,782.20
  4. Step 4: Simplify right side
    133,708.60x = 10,981,952,070.54
  5. Step 5: Solve for x
    x = 10,981,952,070.54/133,708.60
  6. Step 6: Final answer
    x = 82,133.48

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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.