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Finding the Fourth Proportional to 133,544.40, 200,057.40 and 124,213.20

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Solution

The fourth proportional to 133,544.40, 200,057.40 and 124,213.20 is: 186,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,544.40 : 200,057.40 = 124,213.20 : x
  2. Step 2: Convert to fraction form
    133,544.40/200,057.40 = 124,213.20/x
  3. Step 3: Cross multiply
    133,544.40x = 200,057.40 × 124,213.20
  4. Step 4: Simplify right side
    133,544.40x = 24,849,769,837.68
  5. Step 5: Solve for x
    x = 24,849,769,837.68/133,544.40
  6. Step 6: Final answer
    x = 186,078.71

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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.