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Finding the Fourth Proportional to 119,511.96, 164,920.24 and 65,786.48

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Solution

The fourth proportional to 119,511.96, 164,920.24 and 65,786.48 is: 90,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,511.96 : 164,920.24 = 65,786.48 : x
  2. Step 2: Convert to fraction form
    119,511.96/164,920.24 = 65,786.48/x
  3. Step 3: Cross multiply
    119,511.96x = 164,920.24 × 65,786.48
  4. Step 4: Simplify right side
    119,511.96x = 10,849,522,318.19
  5. Step 5: Solve for x
    x = 10,849,522,318.19/119,511.96
  6. Step 6: Final answer
    x = 90,781.90

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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.