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Finding the Fourth Proportional to 136,157, 204,247.02 and 37,661

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Solution

The fourth proportional to 136,157, 204,247.02 and 37,661 is: 56,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,157 : 204,247.02 = 37,661 : x
  2. Step 2: Convert to fraction form
    136,157/204,247.02 = 37,661/x
  3. Step 3: Cross multiply
    136,157x = 204,247.02 × 37,661
  4. Step 4: Simplify right side
    136,157x = 7,692,147,020.22
  5. Step 5: Solve for x
    x = 7,692,147,020.22/136,157
  6. Step 6: Final answer
    x = 56,494.69

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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.