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Finding the Fourth Proportional to 232,279.83, 320,567.36 and 141,640.83

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Solution

The fourth proportional to 232,279.83, 320,567.36 and 141,640.83 is: 195,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,279.83 : 320,567.36 = 141,640.83 : x
  2. Step 2: Convert to fraction form
    232,279.83/320,567.36 = 141,640.83/x
  3. Step 3: Cross multiply
    232,279.83x = 320,567.36 × 141,640.83
  4. Step 4: Simplify right side
    232,279.83x = 45,405,426,233.10
  5. Step 5: Solve for x
    x = 45,405,426,233.10/232,279.83
  6. Step 6: Final answer
    x = 195,477.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.