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Finding the Fourth Proportional to 120,846.40, 181,269.60 and 76,523.20

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Solution

The fourth proportional to 120,846.40, 181,269.60 and 76,523.20 is: 114,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,846.40 : 181,269.60 = 76,523.20 : x
  2. Step 2: Convert to fraction form
    120,846.40/181,269.60 = 76,523.20/x
  3. Step 3: Cross multiply
    120,846.40x = 181,269.60 × 76,523.20
  4. Step 4: Simplify right side
    120,846.40x = 13,871,329,854.72
  5. Step 5: Solve for x
    x = 13,871,329,854.72/120,846.40
  6. Step 6: Final answer
    x = 114,784.80

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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.