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Finding the Fourth Proportional to 138,057.94, 206,783.36 and 114,093.89

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Solution

The fourth proportional to 138,057.94, 206,783.36 and 114,093.89 is: 170,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.94 : 206,783.36 = 114,093.89 : x
  2. Step 2: Convert to fraction form
    138,057.94/206,783.36 = 114,093.89/x
  3. Step 3: Cross multiply
    138,057.94x = 206,783.36 × 114,093.89
  4. Step 4: Simplify right side
    138,057.94x = 23,592,716,325.28
  5. Step 5: Solve for x
    x = 23,592,716,325.28/138,057.94
  6. Step 6: Final answer
    x = 170,889.97

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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.