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Finding the Fourth Proportional to 107,901.84, 149,020.72 and 82,133.31

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Solution

The fourth proportional to 107,901.84, 149,020.72 and 82,133.31 is: 113,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,901.84 : 149,020.72 = 82,133.31 : x
  2. Step 2: Convert to fraction form
    107,901.84/149,020.72 = 82,133.31/x
  3. Step 3: Cross multiply
    107,901.84x = 149,020.72 × 82,133.31
  4. Step 4: Simplify right side
    107,901.84x = 12,239,564,786.85
  5. Step 5: Solve for x
    x = 12,239,564,786.85/107,901.84
  6. Step 6: Final answer
    x = 113,432.40

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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.