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Finding the Fourth Proportional to 80,237.34, 120,311.01 and 54,965.40

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Solution

The fourth proportional to 80,237.34, 120,311.01 and 54,965.40 is: 82,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,237.34 : 120,311.01 = 54,965.40 : x
  2. Step 2: Convert to fraction form
    80,237.34/120,311.01 = 54,965.40/x
  3. Step 3: Cross multiply
    80,237.34x = 120,311.01 × 54,965.40
  4. Step 4: Simplify right side
    80,237.34x = 6,612,943,191.12
  5. Step 5: Solve for x
    x = 6,612,943,191.12/80,237.34
  6. Step 6: Final answer
    x = 82,417.28

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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.