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Finding the Fourth Proportional to 202,285.90, 303,461.70 and 75,936.07

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Solution

The fourth proportional to 202,285.90, 303,461.70 and 75,936.07 is: 113,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,285.90 : 303,461.70 = 75,936.07 : x
  2. Step 2: Convert to fraction form
    202,285.90/303,461.70 = 75,936.07/x
  3. Step 3: Cross multiply
    202,285.90x = 303,461.70 × 75,936.07
  4. Step 4: Simplify right side
    202,285.90x = 23,043,688,893.52
  5. Step 5: Solve for x
    x = 23,043,688,893.52/202,285.90
  6. Step 6: Final answer
    x = 113,916.44

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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.