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Finding the Fourth Proportional to 119,495.25, 164,914.43 and 65,791.17

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Solution

The fourth proportional to 119,495.25, 164,914.43 and 65,791.17 is: 90,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,495.25 : 164,914.43 = 65,791.17 : x
  2. Step 2: Convert to fraction form
    119,495.25/164,914.43 = 65,791.17/x
  3. Step 3: Cross multiply
    119,495.25x = 164,914.43 × 65,791.17
  4. Step 4: Simplify right side
    119,495.25x = 10,849,912,970.63
  5. Step 5: Solve for x
    x = 10,849,912,970.63/119,495.25
  6. Step 6: Final answer
    x = 90,797.86

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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.