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Finding the Fourth Proportional to 131,283.20, 196,633.20 and 113,787.20

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Solution

The fourth proportional to 131,283.20, 196,633.20 and 113,787.20 is: 170,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,283.20 : 196,633.20 = 113,787.20 : x
  2. Step 2: Convert to fraction form
    131,283.20/196,633.20 = 113,787.20/x
  3. Step 3: Cross multiply
    131,283.20x = 196,633.20 × 113,787.20
  4. Step 4: Simplify right side
    131,283.20x = 22,374,341,255.04
  5. Step 5: Solve for x
    x = 22,374,341,255.04/131,283.20
  6. Step 6: Final answer
    x = 170,428.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.