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Finding the Fourth Proportional to 180,118.88, 270,032.50 and 75,016.52

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Solution

The fourth proportional to 180,118.88, 270,032.50 and 75,016.52 is: 112,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,118.88 : 270,032.50 = 75,016.52 : x
  2. Step 2: Convert to fraction form
    180,118.88/270,032.50 = 75,016.52/x
  3. Step 3: Cross multiply
    180,118.88x = 270,032.50 × 75,016.52
  4. Step 4: Simplify right side
    180,118.88x = 20,256,898,436.90
  5. Step 5: Solve for x
    x = 20,256,898,436.90/180,118.88
  6. Step 6: Final answer
    x = 112,464.05

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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.