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Finding the Fourth Proportional to 264,628.58, 365,107 and 149,889

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Solution

The fourth proportional to 264,628.58, 365,107 and 149,889 is: 206,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,628.58 : 365,107 = 149,889 : x
  2. Step 2: Convert to fraction form
    264,628.58/365,107 = 149,889/x
  3. Step 3: Cross multiply
    264,628.58x = 365,107 × 149,889
  4. Step 4: Simplify right side
    264,628.58x = 54,725,523,123
  5. Step 5: Solve for x
    x = 54,725,523,123/264,628.58
  6. Step 6: Final answer
    x = 206,801.26

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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.