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Finding the Fourth Proportional to 202,371.13, 303,743.40 and 102,601

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Solution

The fourth proportional to 202,371.13, 303,743.40 and 102,601 is: 153,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,371.13 : 303,743.40 = 102,601 : x
  2. Step 2: Convert to fraction form
    202,371.13/303,743.40 = 102,601/x
  3. Step 3: Cross multiply
    202,371.13x = 303,743.40 × 102,601
  4. Step 4: Simplify right side
    202,371.13x = 31,164,376,583.40
  5. Step 5: Solve for x
    x = 31,164,376,583.40/202,371.13
  6. Step 6: Final answer
    x = 153,996.16

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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.