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Finding the Fourth Proportional to 234,186.62, 323,055.80 and 143,563.82

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Solution

The fourth proportional to 234,186.62, 323,055.80 and 143,563.82 is: 198,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,186.62 : 323,055.80 = 143,563.82 : x
  2. Step 2: Convert to fraction form
    234,186.62/323,055.80 = 143,563.82/x
  3. Step 3: Cross multiply
    234,186.62x = 323,055.80 × 143,563.82
  4. Step 4: Simplify right side
    234,186.62x = 46,379,124,721.16
  5. Step 5: Solve for x
    x = 46,379,124,721.16/234,186.62
  6. Step 6: Final answer
    x = 198,043.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.