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Finding the Fourth Proportional to 114,338.90, 157,708.94 and 80,419.34

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Solution

The fourth proportional to 114,338.90, 157,708.94 and 80,419.34 is: 110,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,338.90 : 157,708.94 = 80,419.34 : x
  2. Step 2: Convert to fraction form
    114,338.90/157,708.94 = 80,419.34/x
  3. Step 3: Cross multiply
    114,338.90x = 157,708.94 × 80,419.34
  4. Step 4: Simplify right side
    114,338.90x = 12,682,848,866.90
  5. Step 5: Solve for x
    x = 12,682,848,866.90/114,338.90
  6. Step 6: Final answer
    x = 110,923.31

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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.