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Finding the Fourth Proportional to 118,896.75, 164,076.13 and 65,181.77

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Solution

The fourth proportional to 118,896.75, 164,076.13 and 65,181.77 is: 89,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,896.75 : 164,076.13 = 65,181.77 : x
  2. Step 2: Convert to fraction form
    118,896.75/164,076.13 = 65,181.77/x
  3. Step 3: Cross multiply
    118,896.75x = 164,076.13 × 65,181.77
  4. Step 4: Simplify right side
    118,896.75x = 10,694,772,568.15
  5. Step 5: Solve for x
    x = 10,694,772,568.15/118,896.75
  6. Step 6: Final answer
    x = 89,950.08

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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.