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Finding the Fourth Proportional to 140,974.32, 194,559.84 and 90,033.84

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Solution

The fourth proportional to 140,974.32, 194,559.84 and 90,033.84 is: 124,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974.32 : 194,559.84 = 90,033.84 : x
  2. Step 2: Convert to fraction form
    140,974.32/194,559.84 = 90,033.84/x
  3. Step 3: Cross multiply
    140,974.32x = 194,559.84 × 90,033.84
  4. Step 4: Simplify right side
    140,974.32x = 17,516,969,504.99
  5. Step 5: Solve for x
    x = 17,516,969,504.99/140,974.32
  6. Step 6: Final answer
    x = 124,256.46

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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.