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Finding the Fourth Proportional to 138,059.94, 206,786.35 and 114,095.89

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Solution

The fourth proportional to 138,059.94, 206,786.35 and 114,095.89 is: 170,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,059.94 : 206,786.35 = 114,095.89 : x
  2. Step 2: Convert to fraction form
    138,059.94/206,786.35 = 114,095.89/x
  3. Step 3: Cross multiply
    138,059.94x = 206,786.35 × 114,095.89
  4. Step 4: Simplify right side
    138,059.94x = 23,593,472,643.10
  5. Step 5: Solve for x
    x = 23,593,472,643.10/138,059.94
  6. Step 6: Final answer
    x = 170,892.97

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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.