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Finding the Fourth Proportional to 175,650, 242,397 and 96,162

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Solution

The fourth proportional to 175,650, 242,397 and 96,162 is: 132,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,650 : 242,397 = 96,162 : x
  2. Step 2: Convert to fraction form
    175,650/242,397 = 96,162/x
  3. Step 3: Cross multiply
    175,650x = 242,397 × 96,162
  4. Step 4: Simplify right side
    175,650x = 23,309,380,314
  5. Step 5: Solve for x
    x = 23,309,380,314/175,650
  6. Step 6: Final answer
    x = 132,703.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.