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Finding the Fourth Proportional to 204,689.70, 282,492.59 and 114,060.42

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Solution

The fourth proportional to 204,689.70, 282,492.59 and 114,060.42 is: 157,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.70 : 282,492.59 = 114,060.42 : x
  2. Step 2: Convert to fraction form
    204,689.70/282,492.59 = 114,060.42/x
  3. Step 3: Cross multiply
    204,689.70x = 282,492.59 × 114,060.42
  4. Step 4: Simplify right side
    204,689.70x = 32,221,222,891.99
  5. Step 5: Solve for x
    x = 32,221,222,891.99/204,689.70
  6. Step 6: Final answer
    x = 157,414.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.