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Finding the Fourth Proportional to 197,735.81, 296,654.34 and 57,494.48

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Solution

The fourth proportional to 197,735.81, 296,654.34 and 57,494.48 is: 86,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,735.81 : 296,654.34 = 57,494.48 : x
  2. Step 2: Convert to fraction form
    197,735.81/296,654.34 = 57,494.48/x
  3. Step 3: Cross multiply
    197,735.81x = 296,654.34 × 57,494.48
  4. Step 4: Simplify right side
    197,735.81x = 17,055,987,018.04
  5. Step 5: Solve for x
    x = 17,055,987,018.04/197,735.81
  6. Step 6: Final answer
    x = 86,256.44

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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.