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Finding the Fourth Proportional to 281,492.40, 422,266.32 and 81,814.53

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Solution

The fourth proportional to 281,492.40, 422,266.32 and 81,814.53 is: 122,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,492.40 : 422,266.32 = 81,814.53 : x
  2. Step 2: Convert to fraction form
    281,492.40/422,266.32 = 81,814.53/x
  3. Step 3: Cross multiply
    281,492.40x = 422,266.32 × 81,814.53
  4. Step 4: Simplify right side
    281,492.40x = 34,547,520,505.63
  5. Step 5: Solve for x
    x = 34,547,520,505.63/281,492.40
  6. Step 6: Final answer
    x = 122,729.85

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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.