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Finding the Fourth Proportional to 281,461.20, 422,234.76 and 112,981.20

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Solution

The fourth proportional to 281,461.20, 422,234.76 and 112,981.20 is: 169,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,461.20 : 422,234.76 = 112,981.20 : x
  2. Step 2: Convert to fraction form
    281,461.20/422,234.76 = 112,981.20/x
  3. Step 3: Cross multiply
    281,461.20x = 422,234.76 × 112,981.20
  4. Step 4: Simplify right side
    281,461.20x = 47,704,589,866.51
  5. Step 5: Solve for x
    x = 47,704,589,866.51/281,461.20
  6. Step 6: Final answer
    x = 169,489.04

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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.