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Finding the Fourth Proportional to 242,201.14, 334,099.41 and 145,379.22

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Solution

The fourth proportional to 242,201.14, 334,099.41 and 145,379.22 is: 200,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,201.14 : 334,099.41 = 145,379.22 : x
  2. Step 2: Convert to fraction form
    242,201.14/334,099.41 = 145,379.22/x
  3. Step 3: Cross multiply
    242,201.14x = 334,099.41 × 145,379.22
  4. Step 4: Simplify right side
    242,201.14x = 48,571,111,628.26
  5. Step 5: Solve for x
    x = 48,571,111,628.26/242,201.14
  6. Step 6: Final answer
    x = 200,540.39

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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.