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Finding the Fourth Proportional to 199,882.98, 275,805.27 and 119,343.06

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Solution

The fourth proportional to 199,882.98, 275,805.27 and 119,343.06 is: 164,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,882.98 : 275,805.27 = 119,343.06 : x
  2. Step 2: Convert to fraction form
    199,882.98/275,805.27 = 119,343.06/x
  3. Step 3: Cross multiply
    199,882.98x = 275,805.27 × 119,343.06
  4. Step 4: Simplify right side
    199,882.98x = 32,915,444,885.93
  5. Step 5: Solve for x
    x = 32,915,444,885.93/199,882.98
  6. Step 6: Final answer
    x = 164,673.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.