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Finding the Fourth Proportional to 120,524.54, 180,713.88 and 53,952.26

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Solution

The fourth proportional to 120,524.54, 180,713.88 and 53,952.26 is: 80,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524.54 : 180,713.88 = 53,952.26 : x
  2. Step 2: Convert to fraction form
    120,524.54/180,713.88 = 53,952.26/x
  3. Step 3: Cross multiply
    120,524.54x = 180,713.88 × 53,952.26
  4. Step 4: Simplify right side
    120,524.54x = 9,749,922,239.37
  5. Step 5: Solve for x
    x = 9,749,922,239.37/120,524.54
  6. Step 6: Final answer
    x = 80,895.74

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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.