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Finding the Fourth Proportional to 216,511.92, 298,774.38 and 119,710.17

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Solution

The fourth proportional to 216,511.92, 298,774.38 and 119,710.17 is: 165,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,511.92 : 298,774.38 = 119,710.17 : x
  2. Step 2: Convert to fraction form
    216,511.92/298,774.38 = 119,710.17/x
  3. Step 3: Cross multiply
    216,511.92x = 298,774.38 × 119,710.17
  4. Step 4: Simplify right side
    216,511.92x = 35,766,331,821.44
  5. Step 5: Solve for x
    x = 35,766,331,821.44/216,511.92
  6. Step 6: Final answer
    x = 165,193.36

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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.