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Finding the Fourth Proportional to 265,770.47, 366,755.22 and 144,914.09

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Solution

The fourth proportional to 265,770.47, 366,755.22 and 144,914.09 is: 199,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,770.47 : 366,755.22 = 144,914.09 : x
  2. Step 2: Convert to fraction form
    265,770.47/366,755.22 = 144,914.09/x
  3. Step 3: Cross multiply
    265,770.47x = 366,755.22 × 144,914.09
  4. Step 4: Simplify right side
    265,770.47x = 53,147,997,125.27
  5. Step 5: Solve for x
    x = 53,147,997,125.27/265,770.47
  6. Step 6: Final answer
    x = 199,977.06

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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.