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Finding the Fourth Proportional to 136,204.50, 204,306.75 and 37,708.50

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Solution

The fourth proportional to 136,204.50, 204,306.75 and 37,708.50 is: 56,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,204.50 : 204,306.75 = 37,708.50 : x
  2. Step 2: Convert to fraction form
    136,204.50/204,306.75 = 37,708.50/x
  3. Step 3: Cross multiply
    136,204.50x = 204,306.75 × 37,708.50
  4. Step 4: Simplify right side
    136,204.50x = 7,704,101,082.38
  5. Step 5: Solve for x
    x = 7,704,101,082.38/136,204.50
  6. Step 6: Final answer
    x = 56,562.75

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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.