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Finding the Fourth Proportional to 138,164.38, 190,666.84 and 78,548.38

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Solution

The fourth proportional to 138,164.38, 190,666.84 and 78,548.38 is: 108,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.38 : 190,666.84 = 78,548.38 : x
  2. Step 2: Convert to fraction form
    138,164.38/190,666.84 = 78,548.38/x
  3. Step 3: Cross multiply
    138,164.38x = 190,666.84 × 78,548.38
  4. Step 4: Simplify right side
    138,164.38x = 14,976,571,401.72
  5. Step 5: Solve for x
    x = 14,976,571,401.72/138,164.38
  6. Step 6: Final answer
    x = 108,396.76

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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.