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Finding the Fourth Proportional to 198,837.32, 274,401.98 and 113,970.40

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Solution

The fourth proportional to 198,837.32, 274,401.98 and 113,970.40 is: 157,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,837.32 : 274,401.98 = 113,970.40 : x
  2. Step 2: Convert to fraction form
    198,837.32/274,401.98 = 113,970.40/x
  3. Step 3: Cross multiply
    198,837.32x = 274,401.98 × 113,970.40
  4. Step 4: Simplify right side
    198,837.32x = 31,273,703,421.39
  5. Step 5: Solve for x
    x = 31,273,703,421.39/198,837.32
  6. Step 6: Final answer
    x = 157,282.87

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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.