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Finding the Fourth Proportional to 281,536.92, 422,359.71 and 91,946.31

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Solution

The fourth proportional to 281,536.92, 422,359.71 and 91,946.31 is: 137,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,536.92 : 422,359.71 = 91,946.31 : x
  2. Step 2: Convert to fraction form
    281,536.92/422,359.71 = 91,946.31/x
  3. Step 3: Cross multiply
    281,536.92x = 422,359.71 × 91,946.31
  4. Step 4: Simplify right side
    281,536.92x = 38,834,418,763.88
  5. Step 5: Solve for x
    x = 38,834,418,763.88/281,536.92
  6. Step 6: Final answer
    x = 137,937.22

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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.