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Finding the Fourth Proportional to 195,989.58, 293,889.27 and 114,958.74

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Solution

The fourth proportional to 195,989.58, 293,889.27 and 114,958.74 is: 172,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,989.58 : 293,889.27 = 114,958.74 : x
  2. Step 2: Convert to fraction form
    195,989.58/293,889.27 = 114,958.74/x
  3. Step 3: Cross multiply
    195,989.58x = 293,889.27 × 114,958.74
  4. Step 4: Simplify right side
    195,989.58x = 33,785,140,178.72
  5. Step 5: Solve for x
    x = 33,785,140,178.72/195,989.58
  6. Step 6: Final answer
    x = 172,382.33

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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.