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Finding the Fourth Proportional to 292,002.57, 438,004.26 and 81,640.31

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Solution

The fourth proportional to 292,002.57, 438,004.26 and 81,640.31 is: 122,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,002.57 : 438,004.26 = 81,640.31 : x
  2. Step 2: Convert to fraction form
    292,002.57/438,004.26 = 81,640.31/x
  3. Step 3: Cross multiply
    292,002.57x = 438,004.26 × 81,640.31
  4. Step 4: Simplify right side
    292,002.57x = 35,758,801,377.70
  5. Step 5: Solve for x
    x = 35,758,801,377.70/292,002.57
  6. Step 6: Final answer
    x = 122,460.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.