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Finding the Fourth Proportional to 242,161.38, 334,177.49 and 140,191.16

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Solution

The fourth proportional to 242,161.38, 334,177.49 and 140,191.16 is: 193,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,161.38 : 334,177.49 = 140,191.16 : x
  2. Step 2: Convert to fraction form
    242,161.38/334,177.49 = 140,191.16/x
  3. Step 3: Cross multiply
    242,161.38x = 334,177.49 × 140,191.16
  4. Step 4: Simplify right side
    242,161.38x = 46,848,728,648.58
  5. Step 5: Solve for x
    x = 46,848,728,648.58/242,161.38
  6. Step 6: Final answer
    x = 193,460.78

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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.