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Finding the Fourth Proportional to 292,525.92, 438,791.04 and 82,167.84

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Solution

The fourth proportional to 292,525.92, 438,791.04 and 82,167.84 is: 123,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,525.92 : 438,791.04 = 82,167.84 : x
  2. Step 2: Convert to fraction form
    292,525.92/438,791.04 = 82,167.84/x
  3. Step 3: Cross multiply
    292,525.92x = 438,791.04 × 82,167.84
  4. Step 4: Simplify right side
    292,525.92x = 36,054,511,968.15
  5. Step 5: Solve for x
    x = 36,054,511,968.15/292,525.92
  6. Step 6: Final answer
    x = 123,252.37

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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.