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Finding the Fourth Proportional to 132,205.50, 182,443.59 and 72,589.50

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Solution

The fourth proportional to 132,205.50, 182,443.59 and 72,589.50 is: 100,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,205.50 : 182,443.59 = 72,589.50 : x
  2. Step 2: Convert to fraction form
    132,205.50/182,443.59 = 72,589.50/x
  3. Step 3: Cross multiply
    132,205.50x = 182,443.59 × 72,589.50
  4. Step 4: Simplify right side
    132,205.50x = 13,243,488,976.31
  5. Step 5: Solve for x
    x = 13,243,488,976.31/132,205.50
  6. Step 6: Final answer
    x = 100,173.51

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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.