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Finding the Fourth Proportional to 292,620.25, 438,930.37 and 82,258.18

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Solution

The fourth proportional to 292,620.25, 438,930.37 and 82,258.18 is: 123,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,620.25 : 438,930.37 = 82,258.18 : x
  2. Step 2: Convert to fraction form
    292,620.25/438,930.37 = 82,258.18/x
  3. Step 3: Cross multiply
    292,620.25x = 438,930.37 × 82,258.18
  4. Step 4: Simplify right side
    292,620.25x = 36,105,614,626.06
  5. Step 5: Solve for x
    x = 36,105,614,626.06/292,620.25
  6. Step 6: Final answer
    x = 123,387.27

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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.