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Finding the Fourth Proportional to 198,832.32, 274,395.06 and 113,965.38

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Solution

The fourth proportional to 198,832.32, 274,395.06 and 113,965.38 is: 157,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,832.32 : 274,395.06 = 113,965.38 : x
  2. Step 2: Convert to fraction form
    198,832.32/274,395.06 = 113,965.38/x
  3. Step 3: Cross multiply
    198,832.32x = 274,395.06 × 113,965.38
  4. Step 4: Simplify right side
    198,832.32x = 31,271,537,283.02
  5. Step 5: Solve for x
    x = 31,271,537,283.02/198,832.32
  6. Step 6: Final answer
    x = 157,275.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.