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Finding the Fourth Proportional to 189,406.41, 261,479.12 and 138,361.83

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Solution

The fourth proportional to 189,406.41, 261,479.12 and 138,361.83 is: 191,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,406.41 : 261,479.12 = 138,361.83 : x
  2. Step 2: Convert to fraction form
    189,406.41/261,479.12 = 138,361.83/x
  3. Step 3: Cross multiply
    189,406.41x = 261,479.12 × 138,361.83
  4. Step 4: Simplify right side
    189,406.41x = 36,178,728,858.18
  5. Step 5: Solve for x
    x = 36,178,728,858.18/189,406.41
  6. Step 6: Final answer
    x = 191,011.11

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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.