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Finding the Fourth Proportional to 120,170.88, 180,281.70 and 45,289.44

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Solution

The fourth proportional to 120,170.88, 180,281.70 and 45,289.44 is: 67,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,170.88 : 180,281.70 = 45,289.44 : x
  2. Step 2: Convert to fraction form
    120,170.88/180,281.70 = 45,289.44/x
  3. Step 3: Cross multiply
    120,170.88x = 180,281.70 × 45,289.44
  4. Step 4: Simplify right side
    120,170.88x = 8,164,857,235.25
  5. Step 5: Solve for x
    x = 8,164,857,235.25/120,170.88
  6. Step 6: Final answer
    x = 67,943.73

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1.5x scale

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.