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Finding the Fourth Proportional to 102,169.88, 153,221.74 and 37,244.96

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Solution

The fourth proportional to 102,169.88, 153,221.74 and 37,244.96 is: 55,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,169.88 : 153,221.74 = 37,244.96 : x
  2. Step 2: Convert to fraction form
    102,169.88/153,221.74 = 37,244.96/x
  3. Step 3: Cross multiply
    102,169.88x = 153,221.74 × 37,244.96
  4. Step 4: Simplify right side
    102,169.88x = 5,706,737,577.43
  5. Step 5: Solve for x
    x = 5,706,737,577.43/102,169.88
  6. Step 6: Final answer
    x = 55,855.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.