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Finding the Fourth Proportional to 133,900.64, 200,850.74 and 54,959.25

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Solution

The fourth proportional to 133,900.64, 200,850.74 and 54,959.25 is: 82,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,900.64 : 200,850.74 = 54,959.25 : x
  2. Step 2: Convert to fraction form
    133,900.64/200,850.74 = 54,959.25/x
  3. Step 3: Cross multiply
    133,900.64x = 200,850.74 × 54,959.25
  4. Step 4: Simplify right side
    133,900.64x = 11,038,606,032.35
  5. Step 5: Solve for x
    x = 11,038,606,032.35/133,900.64
  6. Step 6: Final answer
    x = 82,438.78

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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.