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Finding the Fourth Proportional to 132,392.93, 182,704.01 and 71,964.50

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Solution

The fourth proportional to 132,392.93, 182,704.01 and 71,964.50 is: 99,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,392.93 : 182,704.01 = 71,964.50 : x
  2. Step 2: Convert to fraction form
    132,392.93/182,704.01 = 71,964.50/x
  3. Step 3: Cross multiply
    132,392.93x = 182,704.01 × 71,964.50
  4. Step 4: Simplify right side
    132,392.93x = 13,148,201,454.30
  5. Step 5: Solve for x
    x = 13,148,201,454.30/132,392.93
  6. Step 6: Final answer
    x = 99,311.96

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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.