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Finding the Fourth Proportional to 281,536.56, 422,253.81 and 113,050.08

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Solution

The fourth proportional to 281,536.56, 422,253.81 and 113,050.08 is: 169,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,536.56 : 422,253.81 = 113,050.08 : x
  2. Step 2: Convert to fraction form
    281,536.56/422,253.81 = 113,050.08/x
  3. Step 3: Cross multiply
    281,536.56x = 422,253.81 × 113,050.08
  4. Step 4: Simplify right side
    281,536.56x = 47,735,827,000.80
  5. Step 5: Solve for x
    x = 47,735,827,000.80/281,536.56
  6. Step 6: Final answer
    x = 169,554.63

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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.