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Finding the Fourth Proportional to 232,407.12, 320,549.92 and 150,755.48

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Solution

The fourth proportional to 232,407.12, 320,549.92 and 150,755.48 is: 207,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,407.12 : 320,549.92 = 150,755.48 : x
  2. Step 2: Convert to fraction form
    232,407.12/320,549.92 = 150,755.48/x
  3. Step 3: Cross multiply
    232,407.12x = 320,549.92 × 150,755.48
  4. Step 4: Simplify right side
    232,407.12x = 48,324,657,053.56
  5. Step 5: Solve for x
    x = 48,324,657,053.56/232,407.12
  6. Step 6: Final answer
    x = 207,931.05

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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.