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Finding the Fourth Proportional to 118,914.26, 164,093.58 and 65,188.17

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Solution

The fourth proportional to 118,914.26, 164,093.58 and 65,188.17 is: 89,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,914.26 : 164,093.58 = 65,188.17 : x
  2. Step 2: Convert to fraction form
    118,914.26/164,093.58 = 65,188.17/x
  3. Step 3: Cross multiply
    118,914.26x = 164,093.58 × 65,188.17
  4. Step 4: Simplify right side
    118,914.26x = 10,696,960,188.95
  5. Step 5: Solve for x
    x = 10,696,960,188.95/118,914.26
  6. Step 6: Final answer
    x = 89,955.24

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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.