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Finding the Fourth Proportional to 218,650.14, 301,634.10 and 127,950.48

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Solution

The fourth proportional to 218,650.14, 301,634.10 and 127,950.48 is: 176,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,650.14 : 301,634.10 = 127,950.48 : x
  2. Step 2: Convert to fraction form
    218,650.14/301,634.10 = 127,950.48/x
  3. Step 3: Cross multiply
    218,650.14x = 301,634.10 × 127,950.48
  4. Step 4: Simplify right side
    218,650.14x = 38,594,227,879.37
  5. Step 5: Solve for x
    x = 38,594,227,879.37/218,650.14
  6. Step 6: Final answer
    x = 176,511.33

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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.