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Finding the Fourth Proportional to 200,722.81, 301,084.72 and 67,696.51

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Solution

The fourth proportional to 200,722.81, 301,084.72 and 67,696.51 is: 101,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.81 : 301,084.72 = 67,696.51 : x
  2. Step 2: Convert to fraction form
    200,722.81/301,084.72 = 67,696.51/x
  3. Step 3: Cross multiply
    200,722.81x = 301,084.72 × 67,696.51
  4. Step 4: Simplify right side
    200,722.81x = 20,382,383,836.37
  5. Step 5: Solve for x
    x = 20,382,383,836.37/200,722.81
  6. Step 6: Final answer
    x = 101,544.93

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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.