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Finding the Fourth Proportional to 264,594.84, 365,146.56 and 149,874

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Solution

The fourth proportional to 264,594.84, 365,146.56 and 149,874 is: 206,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,594.84 : 365,146.56 = 149,874 : x
  2. Step 2: Convert to fraction form
    264,594.84/365,146.56 = 149,874/x
  3. Step 3: Cross multiply
    264,594.84x = 365,146.56 × 149,874
  4. Step 4: Simplify right side
    264,594.84x = 54,725,975,533.44
  5. Step 5: Solve for x
    x = 54,725,975,533.44/264,594.84
  6. Step 6: Final answer
    x = 206,829.34

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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.