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Finding the Fourth Proportional to 281,797, 422,750.76 and 104,305.52

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Solution

The fourth proportional to 281,797, 422,750.76 and 104,305.52 is: 156,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,797 : 422,750.76 = 104,305.52 : x
  2. Step 2: Convert to fraction form
    281,797/422,750.76 = 104,305.52/x
  3. Step 3: Cross multiply
    281,797x = 422,750.76 × 104,305.52
  4. Step 4: Simplify right side
    281,797x = 44,095,237,852.20
  5. Step 5: Solve for x
    x = 44,095,237,852.20/281,797
  6. Step 6: Final answer
    x = 156,478.73

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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.