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Finding the Fourth Proportional to 193,876.87, 267,440.88 and 116,332.46

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Solution

The fourth proportional to 193,876.87, 267,440.88 and 116,332.46 is: 160,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,876.87 : 267,440.88 = 116,332.46 : x
  2. Step 2: Convert to fraction form
    193,876.87/267,440.88 = 116,332.46/x
  3. Step 3: Cross multiply
    193,876.87x = 267,440.88 × 116,332.46
  4. Step 4: Simplify right side
    193,876.87x = 31,112,054,806.36
  5. Step 5: Solve for x
    x = 31,112,054,806.36/193,876.87
  6. Step 6: Final answer
    x = 160,473.27

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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.