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Finding the Fourth Proportional to 281,797.94, 422,880.11 and 122,029.89

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Solution

The fourth proportional to 281,797.94, 422,880.11 and 122,029.89 is: 183,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,797.94 : 422,880.11 = 122,029.89 : x
  2. Step 2: Convert to fraction form
    281,797.94/422,880.11 = 122,029.89/x
  3. Step 3: Cross multiply
    281,797.94x = 422,880.11 × 122,029.89
  4. Step 4: Simplify right side
    281,797.94x = 51,604,012,696.34
  5. Step 5: Solve for x
    x = 51,604,012,696.34/281,797.94
  6. Step 6: Final answer
    x = 183,124.17

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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.