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Finding the Fourth Proportional to 205,546.44, 308,395.26 and 146,844.12

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Solution

The fourth proportional to 205,546.44, 308,395.26 and 146,844.12 is: 220,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,546.44 : 308,395.26 = 146,844.12 : x
  2. Step 2: Convert to fraction form
    205,546.44/308,395.26 = 146,844.12/x
  3. Step 3: Cross multiply
    205,546.44x = 308,395.26 × 146,844.12
  4. Step 4: Simplify right side
    205,546.44x = 45,286,030,566.87
  5. Step 5: Solve for x
    x = 45,286,030,566.87/205,546.44
  6. Step 6: Final answer
    x = 220,320.19

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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.