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Finding the Fourth Proportional to 120,499.20, 180,748.80 and 97,171.20

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Solution

The fourth proportional to 120,499.20, 180,748.80 and 97,171.20 is: 145,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,499.20 : 180,748.80 = 97,171.20 : x
  2. Step 2: Convert to fraction form
    120,499.20/180,748.80 = 97,171.20/x
  3. Step 3: Cross multiply
    120,499.20x = 180,748.80 × 97,171.20
  4. Step 4: Simplify right side
    120,499.20x = 17,563,577,794.56
  5. Step 5: Solve for x
    x = 17,563,577,794.56/120,499.20
  6. Step 6: Final answer
    x = 145,756.80

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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.