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Finding the Fourth Proportional to 195,228, 269,416.26 and 105,804

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Solution

The fourth proportional to 195,228, 269,416.26 and 105,804 is: 146,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,228 : 269,416.26 = 105,804 : x
  2. Step 2: Convert to fraction form
    195,228/269,416.26 = 105,804/x
  3. Step 3: Cross multiply
    195,228x = 269,416.26 × 105,804
  4. Step 4: Simplify right side
    195,228x = 28,505,317,973.04
  5. Step 5: Solve for x
    x = 28,505,317,973.04/195,228
  6. Step 6: Final answer
    x = 146,010.40

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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.