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Finding the Fourth Proportional to 180,637.26, 270,964.53 and 87,221.58

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Solution

The fourth proportional to 180,637.26, 270,964.53 and 87,221.58 is: 130,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,637.26 : 270,964.53 = 87,221.58 : x
  2. Step 2: Convert to fraction form
    180,637.26/270,964.53 = 87,221.58/x
  3. Step 3: Cross multiply
    180,637.26x = 270,964.53 × 87,221.58
  4. Step 4: Simplify right side
    180,637.26x = 23,633,954,430.56
  5. Step 5: Solve for x
    x = 23,633,954,430.56/180,637.26
  6. Step 6: Final answer
    x = 130,836.54

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Why These Related Problems?

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