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Finding the Fourth Proportional to 182,993.61, 252,473.61 and 102,408.33

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Solution

The fourth proportional to 182,993.61, 252,473.61 and 102,408.33 is: 141,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993.61 : 252,473.61 = 102,408.33 : x
  2. Step 2: Convert to fraction form
    182,993.61/252,473.61 = 102,408.33/x
  3. Step 3: Cross multiply
    182,993.61x = 252,473.61 × 102,408.33
  4. Step 4: Simplify right side
    182,993.61x = 25,855,399,506.80
  5. Step 5: Solve for x
    x = 25,855,399,506.80/182,993.61
  6. Step 6: Final answer
    x = 141,291.27

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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.