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Finding the Fourth Proportional to 292,483.82, 438,723.70 and 82,121.96

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Solution

The fourth proportional to 292,483.82, 438,723.70 and 82,121.96 is: 123,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,483.82 : 438,723.70 = 82,121.96 : x
  2. Step 2: Convert to fraction form
    292,483.82/438,723.70 = 82,121.96/x
  3. Step 3: Cross multiply
    292,483.82x = 438,723.70 × 82,121.96
  4. Step 4: Simplify right side
    292,483.82x = 36,028,850,142.45
  5. Step 5: Solve for x
    x = 36,028,850,142.45/292,483.82
  6. Step 6: Final answer
    x = 123,182.37

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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.