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Finding the Fourth Proportional to 238,194, 357,291 and 71,982

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Solution

The fourth proportional to 238,194, 357,291 and 71,982 is: 107,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,194 : 357,291 = 71,982 : x
  2. Step 2: Convert to fraction form
    238,194/357,291 = 71,982/x
  3. Step 3: Cross multiply
    238,194x = 357,291 × 71,982
  4. Step 4: Simplify right side
    238,194x = 25,718,520,762
  5. Step 5: Solve for x
    x = 25,718,520,762/238,194
  6. Step 6: Final answer
    x = 107,973

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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.