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Finding the Fourth Proportional to 200,538.22, 300,804.13 and 48,736.53

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Solution

The fourth proportional to 200,538.22, 300,804.13 and 48,736.53 is: 73,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.22 : 300,804.13 = 48,736.53 : x
  2. Step 2: Convert to fraction form
    200,538.22/300,804.13 = 48,736.53/x
  3. Step 3: Cross multiply
    200,538.22x = 300,804.13 × 48,736.53
  4. Step 4: Simplify right side
    200,538.22x = 14,660,149,505.87
  5. Step 5: Solve for x
    x = 14,660,149,505.87/200,538.22
  6. Step 6: Final answer
    x = 73,104.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.