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Finding the Fourth Proportional to 118,965.66, 164,224.77 and 83,295.54

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Solution

The fourth proportional to 118,965.66, 164,224.77 and 83,295.54 is: 114,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,965.66 : 164,224.77 = 83,295.54 : x
  2. Step 2: Convert to fraction form
    118,965.66/164,224.77 = 83,295.54/x
  3. Step 3: Cross multiply
    118,965.66x = 164,224.77 × 83,295.54
  4. Step 4: Simplify right side
    118,965.66x = 13,679,190,898.53
  5. Step 5: Solve for x
    x = 13,679,190,898.53/118,965.66
  6. Step 6: Final answer
    x = 114,984.37

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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.