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Finding the Fourth Proportional to 281,813.85, 422,764.56 and 94,810.77

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Solution

The fourth proportional to 281,813.85, 422,764.56 and 94,810.77 is: 142,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,813.85 : 422,764.56 = 94,810.77 : x
  2. Step 2: Convert to fraction form
    281,813.85/422,764.56 = 94,810.77/x
  3. Step 3: Cross multiply
    281,813.85x = 422,764.56 × 94,810.77
  4. Step 4: Simplify right side
    281,813.85x = 40,082,633,462.31
  5. Step 5: Solve for x
    x = 40,082,633,462.31/281,813.85
  6. Step 6: Final answer
    x = 142,230.89

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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.