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Finding the Fourth Proportional to 280,161.84, 420,186.26 and 102,608.22

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Solution

The fourth proportional to 280,161.84, 420,186.26 and 102,608.22 is: 153,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,161.84 : 420,186.26 = 102,608.22 : x
  2. Step 2: Convert to fraction form
    280,161.84/420,186.26 = 102,608.22/x
  3. Step 3: Cross multiply
    280,161.84x = 420,186.26 × 102,608.22
  4. Step 4: Simplify right side
    280,161.84x = 43,114,561,593.08
  5. Step 5: Solve for x
    x = 43,114,561,593.08/280,161.84
  6. Step 6: Final answer
    x = 153,891.63

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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.