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Finding the Fourth Proportional to 204,499.92, 282,232.44 and 181,657.92

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Solution

The fourth proportional to 204,499.92, 282,232.44 and 181,657.92 is: 250,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,499.92 : 282,232.44 = 181,657.92 : x
  2. Step 2: Convert to fraction form
    204,499.92/282,232.44 = 181,657.92/x
  3. Step 3: Cross multiply
    204,499.92x = 282,232.44 × 181,657.92
  4. Step 4: Simplify right side
    204,499.92x = 51,269,758,006.92
  5. Step 5: Solve for x
    x = 51,269,758,006.92/204,499.92
  6. Step 6: Final answer
    x = 250,707.96

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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.