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Finding the Fourth Proportional to 280,568.60, 420,852.90 and 140,276.60

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Solution

The fourth proportional to 280,568.60, 420,852.90 and 140,276.60 is: 210,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,568.60 : 420,852.90 = 140,276.60 : x
  2. Step 2: Convert to fraction form
    280,568.60/420,852.90 = 140,276.60/x
  3. Step 3: Cross multiply
    280,568.60x = 420,852.90 × 140,276.60
  4. Step 4: Simplify right side
    280,568.60x = 59,035,813,912.14
  5. Step 5: Solve for x
    x = 59,035,813,912.14/280,568.60
  6. Step 6: Final answer
    x = 210,414.90

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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.