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Finding the Fourth Proportional to 281,491.96, 422,265.60 and 81,814

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Solution

The fourth proportional to 281,491.96, 422,265.60 and 81,814 is: 122,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491.96 : 422,265.60 = 81,814 : x
  2. Step 2: Convert to fraction form
    281,491.96/422,265.60 = 81,814/x
  3. Step 3: Cross multiply
    281,491.96x = 422,265.60 × 81,814
  4. Step 4: Simplify right side
    281,491.96x = 34,547,237,798.40
  5. Step 5: Solve for x
    x = 34,547,237,798.40/281,491.96
  6. Step 6: Final answer
    x = 122,729.04

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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.