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Finding the Fourth Proportional to 118,993.13, 164,205.09 and 65,277.00

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Solution

The fourth proportional to 118,993.13, 164,205.09 and 65,277.00 is: 90,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,993.13 : 164,205.09 = 65,277.00 : x
  2. Step 2: Convert to fraction form
    118,993.13/164,205.09 = 65,277.00/x
  3. Step 3: Cross multiply
    118,993.13x = 164,205.09 × 65,277.00
  4. Step 4: Simplify right side
    118,993.13x = 10,718,814,576.35
  5. Step 5: Solve for x
    x = 10,718,814,576.35/118,993.13
  6. Step 6: Final answer
    x = 90,079.27

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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.