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Finding the Fourth Proportional to 118,884.32, 164,059.28 and 65,169.16

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Solution

The fourth proportional to 118,884.32, 164,059.28 and 65,169.16 is: 89,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,884.32 : 164,059.28 = 65,169.16 : x
  2. Step 2: Convert to fraction form
    118,884.32/164,059.28 = 65,169.16/x
  3. Step 3: Cross multiply
    118,884.32x = 164,059.28 × 65,169.16
  4. Step 4: Simplify right side
    118,884.32x = 10,691,605,467.80
  5. Step 5: Solve for x
    x = 10,691,605,467.80/118,884.32
  6. Step 6: Final answer
    x = 89,932.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.