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Finding the Fourth Proportional to 200,491.38, 300,734.48 and 48,689.71

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Solution

The fourth proportional to 200,491.38, 300,734.48 and 48,689.71 is: 73,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.38 : 300,734.48 = 48,689.71 : x
  2. Step 2: Convert to fraction form
    200,491.38/300,734.48 = 48,689.71/x
  3. Step 3: Cross multiply
    200,491.38x = 300,734.48 × 48,689.71
  4. Step 4: Simplify right side
    200,491.38x = 14,642,673,114.53
  5. Step 5: Solve for x
    x = 14,642,673,114.53/200,491.38
  6. Step 6: Final answer
    x = 73,033.93

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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.