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Finding the Fourth Proportional to 238,419.14, 329,020.64 and 130,991.40

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Solution

The fourth proportional to 238,419.14, 329,020.64 and 130,991.40 is: 180,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,419.14 : 329,020.64 = 130,991.40 : x
  2. Step 2: Convert to fraction form
    238,419.14/329,020.64 = 130,991.40/x
  3. Step 3: Cross multiply
    238,419.14x = 329,020.64 × 130,991.40
  4. Step 4: Simplify right side
    238,419.14x = 43,098,874,262.50
  5. Step 5: Solve for x
    x = 43,098,874,262.50/238,419.14
  6. Step 6: Final answer
    x = 180,769.36

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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.