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Finding the Fourth Proportional to 188,418.30, 283,283.55 and 159,549.90

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Solution

The fourth proportional to 188,418.30, 283,283.55 and 159,549.90 is: 239,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,418.30 : 283,283.55 = 159,549.90 : x
  2. Step 2: Convert to fraction form
    188,418.30/283,283.55 = 159,549.90/x
  3. Step 3: Cross multiply
    188,418.30x = 283,283.55 × 159,549.90
  4. Step 4: Simplify right side
    188,418.30x = 45,197,862,074.15
  5. Step 5: Solve for x
    x = 45,197,862,074.15/188,418.30
  6. Step 6: Final answer
    x = 239,880.43

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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.