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Finding the Fourth Proportional to 118,908.23, 164,091.48 and 65,193.71

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Solution

The fourth proportional to 118,908.23, 164,091.48 and 65,193.71 is: 89,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,908.23 : 164,091.48 = 65,193.71 : x
  2. Step 2: Convert to fraction form
    118,908.23/164,091.48 = 65,193.71/x
  3. Step 3: Cross multiply
    118,908.23x = 164,091.48 × 65,193.71
  4. Step 4: Simplify right side
    118,908.23x = 10,697,731,540.13
  5. Step 5: Solve for x
    x = 10,697,731,540.13/118,908.23
  6. Step 6: Final answer
    x = 89,966.29

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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.