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Finding the Fourth Proportional to 299,118, 412,768.26 and 178,256.52

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Solution

The fourth proportional to 299,118, 412,768.26 and 178,256.52 is: 245,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,118 : 412,768.26 = 178,256.52 : x
  2. Step 2: Convert to fraction form
    299,118/412,768.26 = 178,256.52/x
  3. Step 3: Cross multiply
    299,118x = 412,768.26 × 178,256.52
  4. Step 4: Simplify right side
    299,118x = 73,578,633,594.06
  5. Step 5: Solve for x
    x = 73,578,633,594.06/299,118
  6. Step 6: Final answer
    x = 245,985.31

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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.