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Finding the Fourth Proportional to 132,376.84, 182,681.44 and 71,947.49

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Solution

The fourth proportional to 132,376.84, 182,681.44 and 71,947.49 is: 99,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,376.84 : 182,681.44 = 71,947.49 : x
  2. Step 2: Convert to fraction form
    132,376.84/182,681.44 = 71,947.49/x
  3. Step 3: Cross multiply
    132,376.84x = 182,681.44 × 71,947.49
  4. Step 4: Simplify right side
    132,376.84x = 13,143,469,984.31
  5. Step 5: Solve for x
    x = 13,143,469,984.31/132,376.84
  6. Step 6: Final answer
    x = 99,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.