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Finding the Fourth Proportional to 281,817.72, 422,504.24 and 139,711.92

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Solution

The fourth proportional to 281,817.72, 422,504.24 and 139,711.92 is: 209,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,817.72 : 422,504.24 = 139,711.92 : x
  2. Step 2: Convert to fraction form
    281,817.72/422,504.24 = 139,711.92/x
  3. Step 3: Cross multiply
    281,817.72x = 422,504.24 × 139,711.92
  4. Step 4: Simplify right side
    281,817.72x = 59,028,878,578.54
  5. Step 5: Solve for x
    x = 59,028,878,578.54/281,817.72
  6. Step 6: Final answer
    x = 209,457.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.