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Finding the Fourth Proportional to 120,154.30, 180,212.55 and 75,644.80

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Solution

The fourth proportional to 120,154.30, 180,212.55 and 75,644.80 is: 113,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,154.30 : 180,212.55 = 75,644.80 : x
  2. Step 2: Convert to fraction form
    120,154.30/180,212.55 = 75,644.80/x
  3. Step 3: Cross multiply
    120,154.30x = 180,212.55 × 75,644.80
  4. Step 4: Simplify right side
    120,154.30x = 13,632,142,302.24
  5. Step 5: Solve for x
    x = 13,632,142,302.24/120,154.30
  6. Step 6: Final answer
    x = 113,455.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.