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Finding the Fourth Proportional to 263,000.50, 362,940.69 and 149,823.25

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Solution

The fourth proportional to 263,000.50, 362,940.69 and 149,823.25 is: 206,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,000.50 : 362,940.69 = 149,823.25 : x
  2. Step 2: Convert to fraction form
    263,000.50/362,940.69 = 149,823.25/x
  3. Step 3: Cross multiply
    263,000.50x = 362,940.69 × 149,823.25
  4. Step 4: Simplify right side
    263,000.50x = 54,376,953,733.04
  5. Step 5: Solve for x
    x = 54,376,953,733.04/263,000.50
  6. Step 6: Final answer
    x = 206,756.09

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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.