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Finding the Fourth Proportional to 137,364.21, 206,982.32 and 112,951.17

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Solution

The fourth proportional to 137,364.21, 206,982.32 and 112,951.17 is: 170,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,364.21 : 206,982.32 = 112,951.17 : x
  2. Step 2: Convert to fraction form
    137,364.21/206,982.32 = 112,951.17/x
  3. Step 3: Cross multiply
    137,364.21x = 206,982.32 × 112,951.17
  4. Step 4: Simplify right side
    137,364.21x = 23,378,894,648.56
  5. Step 5: Solve for x
    x = 23,378,894,648.56/137,364.21
  6. Step 6: Final answer
    x = 170,196.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.