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Finding the Fourth Proportional to 281,574.88, 422,318.26 and 92,033.80

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Solution

The fourth proportional to 281,574.88, 422,318.26 and 92,033.80 is: 138,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,574.88 : 422,318.26 = 92,033.80 : x
  2. Step 2: Convert to fraction form
    281,574.88/422,318.26 = 92,033.80/x
  3. Step 3: Cross multiply
    281,574.88x = 422,318.26 × 92,033.80
  4. Step 4: Simplify right side
    281,574.88x = 38,867,554,277.19
  5. Step 5: Solve for x
    x = 38,867,554,277.19/281,574.88
  6. Step 6: Final answer
    x = 138,036.30

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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.