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Finding the Fourth Proportional to 198,749.81, 274,274.74 and 113,916.08

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Solution

The fourth proportional to 198,749.81, 274,274.74 and 113,916.08 is: 157,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,749.81 : 274,274.74 = 113,916.08 : x
  2. Step 2: Convert to fraction form
    198,749.81/274,274.74 = 113,916.08/x
  3. Step 3: Cross multiply
    198,749.81x = 274,274.74 × 113,916.08
  4. Step 4: Simplify right side
    198,749.81x = 31,244,304,051.90
  5. Step 5: Solve for x
    x = 31,244,304,051.90/198,749.81
  6. Step 6: Final answer
    x = 157,204.19

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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.