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Finding the Fourth Proportional to 180,468.88, 270,717.36 and 75,317.92

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Solution

The fourth proportional to 180,468.88, 270,717.36 and 75,317.92 is: 112,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.88 : 270,717.36 = 75,317.92 : x
  2. Step 2: Convert to fraction form
    180,468.88/270,717.36 = 75,317.92/x
  3. Step 3: Cross multiply
    180,468.88x = 270,717.36 × 75,317.92
  4. Step 4: Simplify right side
    180,468.88x = 20,389,868,463.09
  5. Step 5: Solve for x
    x = 20,389,868,463.09/180,468.88
  6. Step 6: Final answer
    x = 112,982.74

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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.