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Finding the Fourth Proportional to 281,915.30, 422,767.55 and 113,378.67

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Solution

The fourth proportional to 281,915.30, 422,767.55 and 113,378.67 is: 170,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,915.30 : 422,767.55 = 113,378.67 : x
  2. Step 2: Convert to fraction form
    281,915.30/422,767.55 = 113,378.67/x
  3. Step 3: Cross multiply
    281,915.30x = 422,767.55 × 113,378.67
  4. Step 4: Simplify right side
    281,915.30x = 47,932,822,821.61
  5. Step 5: Solve for x
    x = 47,932,822,821.61/281,915.30
  6. Step 6: Final answer
    x = 170,025.62

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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.