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Finding the Fourth Proportional to 120,326.69, 165,998.69 and 72,553.50

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Solution

The fourth proportional to 120,326.69, 165,998.69 and 72,553.50 is: 100,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,326.69 : 165,998.69 = 72,553.50 : x
  2. Step 2: Convert to fraction form
    120,326.69/165,998.69 = 72,553.50/x
  3. Step 3: Cross multiply
    120,326.69x = 165,998.69 × 72,553.50
  4. Step 4: Simplify right side
    120,326.69x = 12,043,785,521.02
  5. Step 5: Solve for x
    x = 12,043,785,521.02/120,326.69
  6. Step 6: Final answer
    x = 100,092.39

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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.