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Finding the Fourth Proportional to 183,722.92, 253,540.74 and 102,049

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Solution

The fourth proportional to 183,722.92, 253,540.74 and 102,049 is: 140,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,722.92 : 253,540.74 = 102,049 : x
  2. Step 2: Convert to fraction form
    183,722.92/253,540.74 = 102,049/x
  3. Step 3: Cross multiply
    183,722.92x = 253,540.74 × 102,049
  4. Step 4: Simplify right side
    183,722.92x = 25,873,578,976.26
  5. Step 5: Solve for x
    x = 25,873,578,976.26/183,722.92
  6. Step 6: Final answer
    x = 140,829.35

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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.