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Finding the Fourth Proportional to 188,245.64, 282,294.66 and 68,274.02

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Solution

The fourth proportional to 188,245.64, 282,294.66 and 68,274.02 is: 102,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,245.64 : 282,294.66 = 68,274.02 : x
  2. Step 2: Convert to fraction form
    188,245.64/282,294.66 = 68,274.02/x
  3. Step 3: Cross multiply
    188,245.64x = 282,294.66 × 68,274.02
  4. Step 4: Simplify right side
    188,245.64x = 19,273,391,262.73
  5. Step 5: Solve for x
    x = 19,273,391,262.73/188,245.64
  6. Step 6: Final answer
    x = 102,384.26

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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.