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Finding the Fourth Proportional to 200,916.35, 301,164.94 and 67,750.83

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Solution

The fourth proportional to 200,916.35, 301,164.94 and 67,750.83 is: 101,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916.35 : 301,164.94 = 67,750.83 : x
  2. Step 2: Convert to fraction form
    200,916.35/301,164.94 = 67,750.83/x
  3. Step 3: Cross multiply
    200,916.35x = 301,164.94 × 67,750.83
  4. Step 4: Simplify right side
    200,916.35x = 20,404,174,355.49
  5. Step 5: Solve for x
    x = 20,404,174,355.49/200,916.35
  6. Step 6: Final answer
    x = 101,555.57

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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.