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Finding the Fourth Proportional to 189,405.91, 261,478.43 and 138,361.33

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Solution

The fourth proportional to 189,405.91, 261,478.43 and 138,361.33 is: 191,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405.91 : 261,478.43 = 138,361.33 : x
  2. Step 2: Convert to fraction form
    189,405.91/261,478.43 = 138,361.33/x
  3. Step 3: Cross multiply
    189,405.91x = 261,478.43 × 138,361.33
  4. Step 4: Simplify right side
    189,405.91x = 36,178,503,341.11
  5. Step 5: Solve for x
    x = 36,178,503,341.11/189,405.91
  6. Step 6: Final answer
    x = 191,010.42

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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.