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Finding the Fourth Proportional to 138,338.42, 190,914.12 and 84,606.57

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Solution

The fourth proportional to 138,338.42, 190,914.12 and 84,606.57 is: 116,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,338.42 : 190,914.12 = 84,606.57 : x
  2. Step 2: Convert to fraction form
    138,338.42/190,914.12 = 84,606.57/x
  3. Step 3: Cross multiply
    138,338.42x = 190,914.12 × 84,606.57
  4. Step 4: Simplify right side
    138,338.42x = 16,152,588,857.77
  5. Step 5: Solve for x
    x = 16,152,588,857.77/138,338.42
  6. Step 6: Final answer
    x = 116,761.41

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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.