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Finding the Fourth Proportional to 202,610.70, 303,916.05 and 97,634.70

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Solution

The fourth proportional to 202,610.70, 303,916.05 and 97,634.70 is: 146,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,610.70 : 303,916.05 = 97,634.70 : x
  2. Step 2: Convert to fraction form
    202,610.70/303,916.05 = 97,634.70/x
  3. Step 3: Cross multiply
    202,610.70x = 303,916.05 × 97,634.70
  4. Step 4: Simplify right side
    202,610.70x = 29,672,752,366.94
  5. Step 5: Solve for x
    x = 29,672,752,366.94/202,610.70
  6. Step 6: Final answer
    x = 146,452.05

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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.