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Finding the Fourth Proportional to 281,904.06, 422,765.82 and 92,313.06

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Solution

The fourth proportional to 281,904.06, 422,765.82 and 92,313.06 is: 138,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,904.06 : 422,765.82 = 92,313.06 : x
  2. Step 2: Convert to fraction form
    281,904.06/422,765.82 = 92,313.06/x
  3. Step 3: Cross multiply
    281,904.06x = 422,765.82 × 92,313.06
  4. Step 4: Simplify right side
    281,904.06x = 39,026,806,507.61
  5. Step 5: Solve for x
    x = 39,026,806,507.61/281,904.06
  6. Step 6: Final answer
    x = 138,440.03

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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.