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Finding the Fourth Proportional to 137,585.40, 206,183.70 and 84,838.20

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Solution

The fourth proportional to 137,585.40, 206,183.70 and 84,838.20 is: 127,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.40 : 206,183.70 = 84,838.20 : x
  2. Step 2: Convert to fraction form
    137,585.40/206,183.70 = 84,838.20/x
  3. Step 3: Cross multiply
    137,585.40x = 206,183.70 × 84,838.20
  4. Step 4: Simplify right side
    137,585.40x = 17,492,253,977.34
  5. Step 5: Solve for x
    x = 17,492,253,977.34/137,585.40
  6. Step 6: Final answer
    x = 127,137.43

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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.