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Finding the Fourth Proportional to 187,429.20, 281,208.60 and 180,949.20

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Solution

The fourth proportional to 187,429.20, 281,208.60 and 180,949.20 is: 271,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,429.20 : 281,208.60 = 180,949.20 : x
  2. Step 2: Convert to fraction form
    187,429.20/281,208.60 = 180,949.20/x
  3. Step 3: Cross multiply
    187,429.20x = 281,208.60 × 180,949.20
  4. Step 4: Simplify right side
    187,429.20x = 50,884,471,203.12
  5. Step 5: Solve for x
    x = 50,884,471,203.12/187,429.20
  6. Step 6: Final answer
    x = 271,486.36

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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.