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Finding the Fourth Proportional to 280,207.18, 420,279.62 and 100,285.34

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Solution

The fourth proportional to 280,207.18, 420,279.62 and 100,285.34 is: 150,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,207.18 : 420,279.62 = 100,285.34 : x
  2. Step 2: Convert to fraction form
    280,207.18/420,279.62 = 100,285.34/x
  3. Step 3: Cross multiply
    280,207.18x = 420,279.62 × 100,285.34
  4. Step 4: Simplify right side
    280,207.18x = 42,147,882,266.00
  5. Step 5: Solve for x
    x = 42,147,882,266.00/280,207.18
  6. Step 6: Final answer
    x = 150,416.86

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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.