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Finding the Fourth Proportional to 135,047.25, 186,365.25 and 75,431.25

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Solution

The fourth proportional to 135,047.25, 186,365.25 and 75,431.25 is: 104,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.25 : 186,365.25 = 75,431.25 : x
  2. Step 2: Convert to fraction form
    135,047.25/186,365.25 = 75,431.25/x
  3. Step 3: Cross multiply
    135,047.25x = 186,365.25 × 75,431.25
  4. Step 4: Simplify right side
    135,047.25x = 14,057,763,764.06
  5. Step 5: Solve for x
    x = 14,057,763,764.06/135,047.25
  6. Step 6: Final answer
    x = 104,095.15

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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.