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Finding the Fourth Proportional to 197,722.84, 296,634.84 and 57,481.47

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Solution

The fourth proportional to 197,722.84, 296,634.84 and 57,481.47 is: 86,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,722.84 : 296,634.84 = 57,481.47 : x
  2. Step 2: Convert to fraction form
    197,722.84/296,634.84 = 57,481.47/x
  3. Step 3: Cross multiply
    197,722.84x = 296,634.84 × 57,481.47
  4. Step 4: Simplify right side
    197,722.84x = 17,051,006,656.41
  5. Step 5: Solve for x
    x = 17,051,006,656.41/197,722.84
  6. Step 6: Final answer
    x = 86,236.91

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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.