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Finding the Fourth Proportional to 223,498.94, 308,428.54 and 122,896.94

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Solution

The fourth proportional to 223,498.94, 308,428.54 and 122,896.94 is: 169,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,498.94 : 308,428.54 = 122,896.94 : x
  2. Step 2: Convert to fraction form
    223,498.94/308,428.54 = 122,896.94/x
  3. Step 3: Cross multiply
    223,498.94x = 308,428.54 × 122,896.94
  4. Step 4: Simplify right side
    223,498.94x = 37,904,923,774.67
  5. Step 5: Solve for x
    x = 37,904,923,774.67/223,498.94
  6. Step 6: Final answer
    x = 169,597.78

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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.