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Finding the Fourth Proportional to 116,838.92, 175,258.38 and 28,092.43

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Solution

The fourth proportional to 116,838.92, 175,258.38 and 28,092.43 is: 42,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,838.92 : 175,258.38 = 28,092.43 : x
  2. Step 2: Convert to fraction form
    116,838.92/175,258.38 = 28,092.43/x
  3. Step 3: Cross multiply
    116,838.92x = 175,258.38 × 28,092.43
  4. Step 4: Simplify right side
    116,838.92x = 4,923,433,772.06
  5. Step 5: Solve for x
    x = 4,923,433,772.06/116,838.92
  6. Step 6: Final answer
    x = 42,138.65

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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.