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Finding the Fourth Proportional to 188,808.70, 283,213.05 and 180,719.10

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Solution

The fourth proportional to 188,808.70, 283,213.05 and 180,719.10 is: 271,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,808.70 : 283,213.05 = 180,719.10 : x
  2. Step 2: Convert to fraction form
    188,808.70/283,213.05 = 180,719.10/x
  3. Step 3: Cross multiply
    188,808.70x = 283,213.05 × 180,719.10
  4. Step 4: Simplify right side
    188,808.70x = 51,182,007,504.26
  5. Step 5: Solve for x
    x = 51,182,007,504.26/188,808.70
  6. Step 6: Final answer
    x = 271,078.65

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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.