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Finding the Fourth Proportional to 175,605.36, 263,223 and 75,742.08

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Solution

The fourth proportional to 175,605.36, 263,223 and 75,742.08 is: 113,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,605.36 : 263,223 = 75,742.08 : x
  2. Step 2: Convert to fraction form
    175,605.36/263,223 = 75,742.08/x
  3. Step 3: Cross multiply
    175,605.36x = 263,223 × 75,742.08
  4. Step 4: Simplify right side
    175,605.36x = 19,937,057,523.84
  5. Step 5: Solve for x
    x = 19,937,057,523.84/175,605.36
  6. Step 6: Final answer
    x = 113,533.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.