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Finding the Fourth Proportional to 229,876.39, 317,231 and 127,906.17

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Solution

The fourth proportional to 229,876.39, 317,231 and 127,906.17 is: 176,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,876.39 : 317,231 = 127,906.17 : x
  2. Step 2: Convert to fraction form
    229,876.39/317,231 = 127,906.17/x
  3. Step 3: Cross multiply
    229,876.39x = 317,231 × 127,906.17
  4. Step 4: Simplify right side
    229,876.39x = 40,575,802,215.27
  5. Step 5: Solve for x
    x = 40,575,802,215.27/229,876.39
  6. Step 6: Final answer
    x = 176,511.39

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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.