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Finding the Fourth Proportional to 272,806.20, 409,209.30 and 188,825.40

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Solution

The fourth proportional to 272,806.20, 409,209.30 and 188,825.40 is: 283,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,806.20 : 409,209.30 = 188,825.40 : x
  2. Step 2: Convert to fraction form
    272,806.20/409,209.30 = 188,825.40/x
  3. Step 3: Cross multiply
    272,806.20x = 409,209.30 × 188,825.40
  4. Step 4: Simplify right side
    272,806.20x = 77,269,109,756.22
  5. Step 5: Solve for x
    x = 77,269,109,756.22/272,806.20
  6. Step 6: Final answer
    x = 283,238.10

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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.