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Finding the Fourth Proportional to 280,116.90, 420,199.05 and 120,199.82

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Solution

The fourth proportional to 280,116.90, 420,199.05 and 120,199.82 is: 180,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,116.90 : 420,199.05 = 120,199.82 : x
  2. Step 2: Convert to fraction form
    280,116.90/420,199.05 = 120,199.82/x
  3. Step 3: Cross multiply
    280,116.90x = 420,199.05 × 120,199.82
  4. Step 4: Simplify right side
    280,116.90x = 50,507,848,073.18
  5. Step 5: Solve for x
    x = 50,507,848,073.18/280,116.90
  6. Step 6: Final answer
    x = 180,309.89

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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.