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Finding the Fourth Proportional to 232,167.90, 320,255.96 and 145,990.49

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Solution

The fourth proportional to 232,167.90, 320,255.96 and 145,990.49 is: 201,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,167.90 : 320,255.96 = 145,990.49 : x
  2. Step 2: Convert to fraction form
    232,167.90/320,255.96 = 145,990.49/x
  3. Step 3: Cross multiply
    232,167.90x = 320,255.96 × 145,990.49
  4. Step 4: Simplify right side
    232,167.90x = 46,754,324,269.76
  5. Step 5: Solve for x
    x = 46,754,324,269.76/232,167.90
  6. Step 6: Final answer
    x = 201,381.52

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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.