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Finding the Fourth Proportional to 367,876.80, 552,024.78 and 143,208.09

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Solution

The fourth proportional to 367,876.80, 552,024.78 and 143,208.09 is: 214,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,876.80 : 552,024.78 = 143,208.09 : x
  2. Step 2: Convert to fraction form
    367,876.80/552,024.78 = 143,208.09/x
  3. Step 3: Cross multiply
    367,876.80x = 552,024.78 × 143,208.09
  4. Step 4: Simplify right side
    367,876.80x = 79,054,414,376.47
  5. Step 5: Solve for x
    x = 79,054,414,376.47/367,876.80
  6. Step 6: Final answer
    x = 214,893.72

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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.