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Finding the Fourth Proportional to 136,217, 204,325.50 and 37,721

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Solution

The fourth proportional to 136,217, 204,325.50 and 37,721 is: 56,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,217 : 204,325.50 = 37,721 : x
  2. Step 2: Convert to fraction form
    136,217/204,325.50 = 37,721/x
  3. Step 3: Cross multiply
    136,217x = 204,325.50 × 37,721
  4. Step 4: Simplify right side
    136,217x = 7,707,362,185.50
  5. Step 5: Solve for x
    x = 7,707,362,185.50/136,217
  6. Step 6: Final answer
    x = 56,581.50

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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.