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Finding the Fourth Proportional to 200,283.88, 276,389.22 and 120,795.88

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Solution

The fourth proportional to 200,283.88, 276,389.22 and 120,795.88 is: 166,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,283.88 : 276,389.22 = 120,795.88 : x
  2. Step 2: Convert to fraction form
    200,283.88/276,389.22 = 120,795.88/x
  3. Step 3: Cross multiply
    200,283.88x = 276,389.22 × 120,795.88
  4. Step 4: Simplify right side
    200,283.88x = 33,386,679,052.41
  5. Step 5: Solve for x
    x = 33,386,679,052.41/200,283.88
  6. Step 6: Final answer
    x = 166,696.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.