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Finding the Fourth Proportional to 279,771.84, 385,969.50 and 194,938.11

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Solution

The fourth proportional to 279,771.84, 385,969.50 and 194,938.11 is: 268,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,771.84 : 385,969.50 = 194,938.11 : x
  2. Step 2: Convert to fraction form
    279,771.84/385,969.50 = 194,938.11/x
  3. Step 3: Cross multiply
    279,771.84x = 385,969.50 × 194,938.11
  4. Step 4: Simplify right side
    279,771.84x = 75,240,164,847.65
  5. Step 5: Solve for x
    x = 75,240,164,847.65/279,771.84
  6. Step 6: Final answer
    x = 268,934.02

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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.