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Finding the Fourth Proportional to 242,168.35, 334,187.11 and 140,198.12

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Solution

The fourth proportional to 242,168.35, 334,187.11 and 140,198.12 is: 193,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,168.35 : 334,187.11 = 140,198.12 : x
  2. Step 2: Convert to fraction form
    242,168.35/334,187.11 = 140,198.12/x
  3. Step 3: Cross multiply
    242,168.35x = 334,187.11 × 140,198.12
  4. Step 4: Simplify right side
    242,168.35x = 46,852,404,550.23
  5. Step 5: Solve for x
    x = 46,852,404,550.23/242,168.35
  6. Step 6: Final answer
    x = 193,470.39

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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.