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Finding the Fourth Proportional to 132,020.38, 182,199.64 and 72,415.90

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Solution

The fourth proportional to 132,020.38, 182,199.64 and 72,415.90 is: 99,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.38 : 182,199.64 = 72,415.90 : x
  2. Step 2: Convert to fraction form
    132,020.38/182,199.64 = 72,415.90/x
  3. Step 3: Cross multiply
    132,020.38x = 182,199.64 × 72,415.90
  4. Step 4: Simplify right side
    132,020.38x = 13,194,149,999.28
  5. Step 5: Solve for x
    x = 13,194,149,999.28/132,020.38
  6. Step 6: Final answer
    x = 99,940.26

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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.