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Finding the Fourth Proportional to 138,614.96, 191,291.42 and 78,173.78

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Solution

The fourth proportional to 138,614.96, 191,291.42 and 78,173.78 is: 107,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,614.96 : 191,291.42 = 78,173.78 : x
  2. Step 2: Convert to fraction form
    138,614.96/191,291.42 = 78,173.78/x
  3. Step 3: Cross multiply
    138,614.96x = 191,291.42 × 78,173.78
  4. Step 4: Simplify right side
    138,614.96x = 14,953,972,621.94
  5. Step 5: Solve for x
    x = 14,953,972,621.94/138,614.96
  6. Step 6: Final answer
    x = 107,881.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.