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Finding the Fourth Proportional to 136,040.82, 204,060.94 and 36,201

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Solution

The fourth proportional to 136,040.82, 204,060.94 and 36,201 is: 54,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,040.82 : 204,060.94 = 36,201 : x
  2. Step 2: Convert to fraction form
    136,040.82/204,060.94 = 36,201/x
  3. Step 3: Cross multiply
    136,040.82x = 204,060.94 × 36,201
  4. Step 4: Simplify right side
    136,040.82x = 7,387,210,088.94
  5. Step 5: Solve for x
    x = 7,387,210,088.94/136,040.82
  6. Step 6: Final answer
    x = 54,301.42

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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.