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Finding the Fourth Proportional to 232,505.17, 320,846.20 and 129,146.06

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Solution

The fourth proportional to 232,505.17, 320,846.20 and 129,146.06 is: 178,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,505.17 : 320,846.20 = 129,146.06 : x
  2. Step 2: Convert to fraction form
    232,505.17/320,846.20 = 129,146.06/x
  3. Step 3: Cross multiply
    232,505.17x = 320,846.20 × 129,146.06
  4. Step 4: Simplify right side
    232,505.17x = 41,436,023,075.22
  5. Step 5: Solve for x
    x = 41,436,023,075.22/232,505.17
  6. Step 6: Final answer
    x = 178,215.49

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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.