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Finding the Fourth Proportional to 281,560.72, 422,337.69 and 113,078.02

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Solution

The fourth proportional to 281,560.72, 422,337.69 and 113,078.02 is: 169,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,560.72 : 422,337.69 = 113,078.02 : x
  2. Step 2: Convert to fraction form
    281,560.72/422,337.69 = 113,078.02/x
  3. Step 3: Cross multiply
    281,560.72x = 422,337.69 × 113,078.02
  4. Step 4: Simplify right side
    281,560.72x = 47,757,109,191.18
  5. Step 5: Solve for x
    x = 47,757,109,191.18/281,560.72
  6. Step 6: Final answer
    x = 169,615.67

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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.