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Finding the Fourth Proportional to 175,734, 242,512.56 and 95,161.50

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Solution

The fourth proportional to 175,734, 242,512.56 and 95,161.50 is: 131,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,734 : 242,512.56 = 95,161.50 : x
  2. Step 2: Convert to fraction form
    175,734/242,512.56 = 95,161.50/x
  3. Step 3: Cross multiply
    175,734x = 242,512.56 × 95,161.50
  4. Step 4: Simplify right side
    175,734x = 23,077,858,978.44
  5. Step 5: Solve for x
    x = 23,077,858,978.44/175,734
  6. Step 6: Final answer
    x = 131,322.68

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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.