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Finding the Fourth Proportional to 194,698.98, 268,806.23 and 149,289.74

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Solution

The fourth proportional to 194,698.98, 268,806.23 and 149,289.74 is: 206,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,698.98 : 268,806.23 = 149,289.74 : x
  2. Step 2: Convert to fraction form
    194,698.98/268,806.23 = 149,289.74/x
  3. Step 3: Cross multiply
    194,698.98x = 268,806.23 × 149,289.74
  4. Step 4: Simplify right side
    194,698.98x = 40,130,010,843.05
  5. Step 5: Solve for x
    x = 40,130,010,843.05/194,698.98
  6. Step 6: Final answer
    x = 206,113.10

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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.