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Finding the Fourth Proportional to 202,419, 303,628.50 and 62,177.63

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Solution

The fourth proportional to 202,419, 303,628.50 and 62,177.63 is: 93,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419 : 303,628.50 = 62,177.63 : x
  2. Step 2: Convert to fraction form
    202,419/303,628.50 = 62,177.63/x
  3. Step 3: Cross multiply
    202,419x = 303,628.50 × 62,177.63
  4. Step 4: Simplify right side
    202,419x = 18,878,899,012.31
  5. Step 5: Solve for x
    x = 18,878,899,012.31/202,419
  6. Step 6: Final answer
    x = 93,266.44

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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.