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Finding the Fourth Proportional to 132,206.26, 182,444.70 and 71,776.84

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Solution

The fourth proportional to 132,206.26, 182,444.70 and 71,776.84 is: 99,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206.26 : 182,444.70 = 71,776.84 : x
  2. Step 2: Convert to fraction form
    132,206.26/182,444.70 = 71,776.84/x
  3. Step 3: Cross multiply
    132,206.26x = 182,444.70 × 71,776.84
  4. Step 4: Simplify right side
    132,206.26x = 13,095,304,040.75
  5. Step 5: Solve for x
    x = 13,095,304,040.75/132,206.26
  6. Step 6: Final answer
    x = 99,052.07

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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.