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Finding the Fourth Proportional to 146,243.84, 201,805.44 and 82,572.80

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Solution

The fourth proportional to 146,243.84, 201,805.44 and 82,572.80 is: 113,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,243.84 : 201,805.44 = 82,572.80 : x
  2. Step 2: Convert to fraction form
    146,243.84/201,805.44 = 82,572.80/x
  3. Step 3: Cross multiply
    146,243.84x = 201,805.44 × 82,572.80
  4. Step 4: Simplify right side
    146,243.84x = 16,663,640,236.03
  5. Step 5: Solve for x
    x = 16,663,640,236.03/146,243.84
  6. Step 6: Final answer
    x = 113,944.22

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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.