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Finding the Fourth Proportional to 180,396.48, 270,335.91 and 101,344.41

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Solution

The fourth proportional to 180,396.48, 270,335.91 and 101,344.41 is: 151,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,396.48 : 270,335.91 = 101,344.41 : x
  2. Step 2: Convert to fraction form
    180,396.48/270,335.91 = 101,344.41/x
  3. Step 3: Cross multiply
    180,396.48x = 270,335.91 × 101,344.41
  4. Step 4: Simplify right side
    180,396.48x = 27,397,033,300.76
  5. Step 5: Solve for x
    x = 27,397,033,300.76/180,396.48
  6. Step 6: Final answer
    x = 151,871.22

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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.