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Finding the Fourth Proportional to 232,199.89, 320,139.21 and 150,383.59

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Solution

The fourth proportional to 232,199.89, 320,139.21 and 150,383.59 is: 207,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,199.89 : 320,139.21 = 150,383.59 : x
  2. Step 2: Convert to fraction form
    232,199.89/320,139.21 = 150,383.59/x
  3. Step 3: Cross multiply
    232,199.89x = 320,139.21 × 150,383.59
  4. Step 4: Simplify right side
    232,199.89x = 48,143,683,699.56
  5. Step 5: Solve for x
    x = 48,143,683,699.56/232,199.89
  6. Step 6: Final answer
    x = 207,337.24

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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.