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Finding the Fourth Proportional to 120,770.60, 180,810.30 and 74,114.60

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Solution

The fourth proportional to 120,770.60, 180,810.30 and 74,114.60 is: 110,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.60 : 180,810.30 = 74,114.60 : x
  2. Step 2: Convert to fraction form
    120,770.60/180,810.30 = 74,114.60/x
  3. Step 3: Cross multiply
    120,770.60x = 180,810.30 × 74,114.60
  4. Step 4: Simplify right side
    120,770.60x = 13,400,683,060.38
  5. Step 5: Solve for x
    x = 13,400,683,060.38/120,770.60
  6. Step 6: Final answer
    x = 110,959.81

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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.