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Finding the Fourth Proportional to 165,249, 248,984.46 and 149,471.82

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Solution

The fourth proportional to 165,249, 248,984.46 and 149,471.82 is: 225,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,249 : 248,984.46 = 149,471.82 : x
  2. Step 2: Convert to fraction form
    165,249/248,984.46 = 149,471.82/x
  3. Step 3: Cross multiply
    165,249x = 248,984.46 × 149,471.82
  4. Step 4: Simplify right side
    165,249x = 37,216,160,387.92
  5. Step 5: Solve for x
    x = 37,216,160,387.92/165,249
  6. Step 6: Final answer
    x = 225,212.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.