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Finding the Fourth Proportional to 182,993.36, 252,473.27 and 102,408.08

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Solution

The fourth proportional to 182,993.36, 252,473.27 and 102,408.08 is: 141,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,993.36 : 252,473.27 = 102,408.08 : x
  2. Step 2: Convert to fraction form
    182,993.36/252,473.27 = 102,408.08/x
  3. Step 3: Cross multiply
    182,993.36x = 252,473.27 × 102,408.08
  4. Step 4: Simplify right side
    182,993.36x = 25,855,301,057.61
  5. Step 5: Solve for x
    x = 25,855,301,057.61/182,993.36
  6. Step 6: Final answer
    x = 141,290.93

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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.