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Finding the Fourth Proportional to 280,422.09, 420,283.22 and 140,220.81

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Solution

The fourth proportional to 280,422.09, 420,283.22 and 140,220.81 is: 210,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422.09 : 420,283.22 = 140,220.81 : x
  2. Step 2: Convert to fraction form
    280,422.09/420,283.22 = 140,220.81/x
  3. Step 3: Cross multiply
    280,422.09x = 420,283.22 × 140,220.81
  4. Step 4: Simplify right side
    280,422.09x = 58,932,452,836.70
  5. Step 5: Solve for x
    x = 58,932,452,836.70/280,422.09
  6. Step 6: Final answer
    x = 210,156.24

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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.