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Finding the Fourth Proportional to 185,049, 255,367.62 and 100,166.67

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Solution

The fourth proportional to 185,049, 255,367.62 and 100,166.67 is: 138,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,049 : 255,367.62 = 100,166.67 : x
  2. Step 2: Convert to fraction form
    185,049/255,367.62 = 100,166.67/x
  3. Step 3: Cross multiply
    185,049x = 255,367.62 × 100,166.67
  4. Step 4: Simplify right side
    185,049x = 25,579,324,121.23
  5. Step 5: Solve for x
    x = 25,579,324,121.23/185,049
  6. Step 6: Final answer
    x = 138,230.00

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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.