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Finding the Fourth Proportional to 197,291.78, 295,981.52 and 92,053.34

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Solution

The fourth proportional to 197,291.78, 295,981.52 and 92,053.34 is: 138,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,291.78 : 295,981.52 = 92,053.34 : x
  2. Step 2: Convert to fraction form
    197,291.78/295,981.52 = 92,053.34/x
  3. Step 3: Cross multiply
    197,291.78x = 295,981.52 × 92,053.34
  4. Step 4: Simplify right side
    197,291.78x = 27,246,086,090.49
  5. Step 5: Solve for x
    x = 27,246,086,090.49/197,291.78
  6. Step 6: Final answer
    x = 138,100.47

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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.