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Finding the Fourth Proportional to 200,722.42, 301,084.16 and 67,696.12

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Solution

The fourth proportional to 200,722.42, 301,084.16 and 67,696.12 is: 101,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.42 : 301,084.16 = 67,696.12 : x
  2. Step 2: Convert to fraction form
    200,722.42/301,084.16 = 67,696.12/x
  3. Step 3: Cross multiply
    200,722.42x = 301,084.16 × 67,696.12
  4. Step 4: Simplify right side
    200,722.42x = 20,382,229,425.46
  5. Step 5: Solve for x
    x = 20,382,229,425.46/200,722.42
  6. Step 6: Final answer
    x = 101,544.36

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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.