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Finding the Fourth Proportional to 198,695.84, 274,203.60 and 113,820.32

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Solution

The fourth proportional to 198,695.84, 274,203.60 and 113,820.32 is: 157,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,695.84 : 274,203.60 = 113,820.32 : x
  2. Step 2: Convert to fraction form
    198,695.84/274,203.60 = 113,820.32/x
  3. Step 3: Cross multiply
    198,695.84x = 274,203.60 × 113,820.32
  4. Step 4: Simplify right side
    198,695.84x = 31,209,941,497.15
  5. Step 5: Solve for x
    x = 31,209,941,497.15/198,695.84
  6. Step 6: Final answer
    x = 157,073.96

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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.