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Finding the Fourth Proportional to 186,998.36, 258,076.42 and 111,546.86

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Solution

The fourth proportional to 186,998.36, 258,076.42 and 111,546.86 is: 153,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,998.36 : 258,076.42 = 111,546.86 : x
  2. Step 2: Convert to fraction form
    186,998.36/258,076.42 = 111,546.86/x
  3. Step 3: Cross multiply
    186,998.36x = 258,076.42 × 111,546.86
  4. Step 4: Simplify right side
    186,998.36x = 28,787,614,291.04
  5. Step 5: Solve for x
    x = 28,787,614,291.04/186,998.36
  6. Step 6: Final answer
    x = 153,945.81

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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.