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Finding the Fourth Proportional to 138,633.38, 191,365.80 and 107,945.72

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Solution

The fourth proportional to 138,633.38, 191,365.80 and 107,945.72 is: 149,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,633.38 : 191,365.80 = 107,945.72 : x
  2. Step 2: Convert to fraction form
    138,633.38/191,365.80 = 107,945.72/x
  3. Step 3: Cross multiply
    138,633.38x = 191,365.80 × 107,945.72
  4. Step 4: Simplify right side
    138,633.38x = 20,657,119,064.38
  5. Step 5: Solve for x
    x = 20,657,119,064.38/138,633.38
  6. Step 6: Final answer
    x = 149,005.38

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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.