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Finding the Fourth Proportional to 205,754.85, 308,466.18 and 189,147.30

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Solution

The fourth proportional to 205,754.85, 308,466.18 and 189,147.30 is: 283,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,754.85 : 308,466.18 = 189,147.30 : x
  2. Step 2: Convert to fraction form
    205,754.85/308,466.18 = 189,147.30/x
  3. Step 3: Cross multiply
    205,754.85x = 308,466.18 × 189,147.30
  4. Step 4: Simplify right side
    205,754.85x = 58,345,545,088.31
  5. Step 5: Solve for x
    x = 58,345,545,088.31/205,754.85
  6. Step 6: Final answer
    x = 283,568.26

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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.