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Finding the Fourth Proportional to 281,949.91, 423,012.56 and 92,411.94

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Solution

The fourth proportional to 281,949.91, 423,012.56 and 92,411.94 is: 138,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,949.91 : 423,012.56 = 92,411.94 : x
  2. Step 2: Convert to fraction form
    281,949.91/423,012.56 = 92,411.94/x
  3. Step 3: Cross multiply
    281,949.91x = 423,012.56 × 92,411.94
  4. Step 4: Simplify right side
    281,949.91x = 39,091,411,313.97
  5. Step 5: Solve for x
    x = 39,091,411,313.97/281,949.91
  6. Step 6: Final answer
    x = 138,646.65

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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.