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Finding the Fourth Proportional to 192,023.78, 265,040.25 and 116,635.46

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Solution

The fourth proportional to 192,023.78, 265,040.25 and 116,635.46 is: 160,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,023.78 : 265,040.25 = 116,635.46 : x
  2. Step 2: Convert to fraction form
    192,023.78/265,040.25 = 116,635.46/x
  3. Step 3: Cross multiply
    192,023.78x = 265,040.25 × 116,635.46
  4. Step 4: Simplify right side
    192,023.78x = 30,913,091,477.27
  5. Step 5: Solve for x
    x = 30,913,091,477.27/192,023.78
  6. Step 6: Final answer
    x = 160,985.75

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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.