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Finding the Fourth Proportional to 202,996.09, 304,605.57 and 103,164.89

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Solution

The fourth proportional to 202,996.09, 304,605.57 and 103,164.89 is: 154,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,996.09 : 304,605.57 = 103,164.89 : x
  2. Step 2: Convert to fraction form
    202,996.09/304,605.57 = 103,164.89/x
  3. Step 3: Cross multiply
    202,996.09x = 304,605.57 × 103,164.89
  4. Step 4: Simplify right side
    202,996.09x = 31,424,600,122.44
  5. Step 5: Solve for x
    x = 31,424,600,122.44/202,996.09
  6. Step 6: Final answer
    x = 154,803.97

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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.