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Finding the Fourth Proportional to 200,537.28, 300,805.89 and 48,733.50

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Solution

The fourth proportional to 200,537.28, 300,805.89 and 48,733.50 is: 73,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.28 : 300,805.89 = 48,733.50 : x
  2. Step 2: Convert to fraction form
    200,537.28/300,805.89 = 48,733.50/x
  3. Step 3: Cross multiply
    200,537.28x = 300,805.89 × 48,733.50
  4. Step 4: Simplify right side
    200,537.28x = 14,659,323,840.32
  5. Step 5: Solve for x
    x = 14,659,323,840.32/200,537.28
  6. Step 6: Final answer
    x = 73,100.24

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