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Finding the Fourth Proportional to 292,388.78, 438,596.14 and 82,022.06

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Solution

The fourth proportional to 292,388.78, 438,596.14 and 82,022.06 is: 123,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,388.78 : 438,596.14 = 82,022.06 : x
  2. Step 2: Convert to fraction form
    292,388.78/438,596.14 = 82,022.06/x
  3. Step 3: Cross multiply
    292,388.78x = 438,596.14 × 82,022.06
  4. Step 4: Simplify right side
    292,388.78x = 35,974,558,910.85
  5. Step 5: Solve for x
    x = 35,974,558,910.85/292,388.78
  6. Step 6: Final answer
    x = 123,036.73

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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.