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Finding the Fourth Proportional to 186,879.15, 257,917.87 and 106,291.11

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Solution

The fourth proportional to 186,879.15, 257,917.87 and 106,291.11 is: 146,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,879.15 : 257,917.87 = 106,291.11 : x
  2. Step 2: Convert to fraction form
    186,879.15/257,917.87 = 106,291.11/x
  3. Step 3: Cross multiply
    186,879.15x = 257,917.87 × 106,291.11
  4. Step 4: Simplify right side
    186,879.15x = 27,414,377,065.80
  5. Step 5: Solve for x
    x = 27,414,377,065.80/186,879.15
  6. Step 6: Final answer
    x = 146,695.75

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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.