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Finding the Fourth Proportional to 118,388.52, 177,738.30 and 83,344.68

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Solution

The fourth proportional to 118,388.52, 177,738.30 and 83,344.68 is: 125,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,388.52 : 177,738.30 = 83,344.68 : x
  2. Step 2: Convert to fraction form
    118,388.52/177,738.30 = 83,344.68/x
  3. Step 3: Cross multiply
    118,388.52x = 177,738.30 × 83,344.68
  4. Step 4: Simplify right side
    118,388.52x = 14,813,541,737.24
  5. Step 5: Solve for x
    x = 14,813,541,737.24/118,388.52
  6. Step 6: Final answer
    x = 125,126.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.