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Finding the Fourth Proportional to 197,833.56, 273,029.85 and 112,963.38

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Solution

The fourth proportional to 197,833.56, 273,029.85 and 112,963.38 is: 155,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,833.56 : 273,029.85 = 112,963.38 : x
  2. Step 2: Convert to fraction form
    197,833.56/273,029.85 = 112,963.38/x
  3. Step 3: Cross multiply
    197,833.56x = 273,029.85 × 112,963.38
  4. Step 4: Simplify right side
    197,833.56x = 30,842,374,696.89
  5. Step 5: Solve for x
    x = 30,842,374,696.89/197,833.56
  6. Step 6: Final answer
    x = 155,900.62

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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.