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Finding the Fourth Proportional to 186,661.98, 257,584.23 and 106,078.86

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Solution

The fourth proportional to 186,661.98, 257,584.23 and 106,078.86 is: 146,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,661.98 : 257,584.23 = 106,078.86 : x
  2. Step 2: Convert to fraction form
    186,661.98/257,584.23 = 106,078.86/x
  3. Step 3: Cross multiply
    186,661.98x = 257,584.23 × 106,078.86
  4. Step 4: Simplify right side
    186,661.98x = 27,324,241,472.38
  5. Step 5: Solve for x
    x = 27,324,241,472.38/186,661.98
  6. Step 6: Final answer
    x = 146,383.54

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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.