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Finding the Fourth Proportional to 120,769.60, 180,808.80 and 74,113.60

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Solution

The fourth proportional to 120,769.60, 180,808.80 and 74,113.60 is: 110,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,769.60 : 180,808.80 = 74,113.60 : x
  2. Step 2: Convert to fraction form
    120,769.60/180,808.80 = 74,113.60/x
  3. Step 3: Cross multiply
    120,769.60x = 180,808.80 × 74,113.60
  4. Step 4: Simplify right side
    120,769.60x = 13,400,391,079.68
  5. Step 5: Solve for x
    x = 13,400,391,079.68/120,769.60
  6. Step 6: Final answer
    x = 110,958.31

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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.