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Finding the Fourth Proportional to 136,156, 204,245.52 and 37,660

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Solution

The fourth proportional to 136,156, 204,245.52 and 37,660 is: 56,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,156 : 204,245.52 = 37,660 : x
  2. Step 2: Convert to fraction form
    136,156/204,245.52 = 37,660/x
  3. Step 3: Cross multiply
    136,156x = 204,245.52 × 37,660
  4. Step 4: Simplify right side
    136,156x = 7,691,886,283.20
  5. Step 5: Solve for x
    x = 7,691,886,283.20/136,156
  6. Step 6: Final answer
    x = 56,493.19

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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.