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Finding the Fourth Proportional to 233,906.78, 322,795.55 and 137,180.39

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Solution

The fourth proportional to 233,906.78, 322,795.55 and 137,180.39 is: 189,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,906.78 : 322,795.55 = 137,180.39 : x
  2. Step 2: Convert to fraction form
    233,906.78/322,795.55 = 137,180.39/x
  3. Step 3: Cross multiply
    233,906.78x = 322,795.55 × 137,180.39
  4. Step 4: Simplify right side
    233,906.78x = 44,281,220,589.20
  5. Step 5: Solve for x
    x = 44,281,220,589.20/233,906.78
  6. Step 6: Final answer
    x = 189,311.41

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1.5x scale

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.