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Finding the Fourth Proportional to 200,537.60, 300,803.19 and 48,735.90

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Solution

The fourth proportional to 200,537.60, 300,803.19 and 48,735.90 is: 73,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.60 : 300,803.19 = 48,735.90 : x
  2. Step 2: Convert to fraction form
    200,537.60/300,803.19 = 48,735.90/x
  3. Step 3: Cross multiply
    200,537.60x = 300,803.19 × 48,735.90
  4. Step 4: Simplify right side
    200,537.60x = 14,659,914,939.53
  5. Step 5: Solve for x
    x = 14,659,914,939.53/200,537.60
  6. Step 6: Final answer
    x = 73,103.07

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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.