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Finding the Fourth Proportional to 195,159.25, 269,319.77 and 105,735.25

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Solution

The fourth proportional to 195,159.25, 269,319.77 and 105,735.25 is: 145,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,159.25 : 269,319.77 = 105,735.25 : x
  2. Step 2: Convert to fraction form
    195,159.25/269,319.77 = 105,735.25/x
  3. Step 3: Cross multiply
    195,159.25x = 269,319.77 × 105,735.25
  4. Step 4: Simplify right side
    195,159.25x = 28,476,593,210.89
  5. Step 5: Solve for x
    x = 28,476,593,210.89/195,159.25
  6. Step 6: Final answer
    x = 145,914.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.