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Finding the Fourth Proportional to 198,924.51, 298,383.84 and 49,164.82

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Solution

The fourth proportional to 198,924.51, 298,383.84 and 49,164.82 is: 73,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,924.51 : 298,383.84 = 49,164.82 : x
  2. Step 2: Convert to fraction form
    198,924.51/298,383.84 = 49,164.82/x
  3. Step 3: Cross multiply
    198,924.51x = 298,383.84 × 49,164.82
  4. Step 4: Simplify right side
    198,924.51x = 14,669,987,222.92
  5. Step 5: Solve for x
    x = 14,669,987,222.92/198,924.51
  6. Step 6: Final answer
    x = 73,746.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.