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Finding the Fourth Proportional to 120,059.40, 180,113.22 and 35,820.84

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Solution

The fourth proportional to 120,059.40, 180,113.22 and 35,820.84 is: 53,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,059.40 : 180,113.22 = 35,820.84 : x
  2. Step 2: Convert to fraction form
    120,059.40/180,113.22 = 35,820.84/x
  3. Step 3: Cross multiply
    120,059.40x = 180,113.22 × 35,820.84
  4. Step 4: Simplify right side
    120,059.40x = 6,451,806,835.50
  5. Step 5: Solve for x
    x = 6,451,806,835.50/120,059.40
  6. Step 6: Final answer
    x = 53,738.46

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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.