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Finding the Fourth Proportional to 280,423.34, 420,285.09 and 140,222.06

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Solution

The fourth proportional to 280,423.34, 420,285.09 and 140,222.06 is: 210,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,423.34 : 420,285.09 = 140,222.06 : x
  2. Step 2: Convert to fraction form
    280,423.34/420,285.09 = 140,222.06/x
  3. Step 3: Cross multiply
    280,423.34x = 420,285.09 × 140,222.06
  4. Step 4: Simplify right side
    280,423.34x = 58,933,241,107.09
  5. Step 5: Solve for x
    x = 58,933,241,107.09/280,423.34
  6. Step 6: Final answer
    x = 210,158.12

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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.