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Finding the Fourth Proportional to 201,806.46, 278,492.90 and 116,972.73

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Solution

The fourth proportional to 201,806.46, 278,492.90 and 116,972.73 is: 161,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.46 : 278,492.90 = 116,972.73 : x
  2. Step 2: Convert to fraction form
    201,806.46/278,492.90 = 116,972.73/x
  3. Step 3: Cross multiply
    201,806.46x = 278,492.90 × 116,972.73
  4. Step 4: Simplify right side
    201,806.46x = 32,576,074,213.75
  5. Step 5: Solve for x
    x = 32,576,074,213.75/201,806.46
  6. Step 6: Final answer
    x = 161,422.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.