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Finding the Fourth Proportional to 118,943.14, 164,141.76 and 65,228.53

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Solution

The fourth proportional to 118,943.14, 164,141.76 and 65,228.53 is: 90,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,943.14 : 164,141.76 = 65,228.53 : x
  2. Step 2: Convert to fraction form
    118,943.14/164,141.76 = 65,228.53/x
  3. Step 3: Cross multiply
    118,943.14x = 164,141.76 × 65,228.53
  4. Step 4: Simplify right side
    118,943.14x = 10,706,725,716.41
  5. Step 5: Solve for x
    x = 10,706,725,716.41/118,943.14
  6. Step 6: Final answer
    x = 90,015.50

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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.