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Finding the Fourth Proportional to 116,264, 174,422 and 42,392

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Solution

The fourth proportional to 116,264, 174,422 and 42,392 is: 63,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,264 : 174,422 = 42,392 : x
  2. Step 2: Convert to fraction form
    116,264/174,422 = 42,392/x
  3. Step 3: Cross multiply
    116,264x = 174,422 × 42,392
  4. Step 4: Simplify right side
    116,264x = 7,394,097,424
  5. Step 5: Solve for x
    x = 7,394,097,424/116,264
  6. Step 6: Final answer
    x = 63,597.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.