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Finding the Fourth Proportional to 184,185.48, 275,229.74 and 138,294

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Solution

The fourth proportional to 184,185.48, 275,229.74 and 138,294 is: 206,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,185.48 : 275,229.74 = 138,294 : x
  2. Step 2: Convert to fraction form
    184,185.48/275,229.74 = 138,294/x
  3. Step 3: Cross multiply
    184,185.48x = 275,229.74 × 138,294
  4. Step 4: Simplify right side
    184,185.48x = 38,062,621,663.56
  5. Step 5: Solve for x
    x = 38,062,621,663.56/184,185.48
  6. Step 6: Final answer
    x = 206,653.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.