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Finding the Fourth Proportional to 234,294.12, 351,159.50 and 107,760

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Solution

The fourth proportional to 234,294.12, 351,159.50 and 107,760 is: 161,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,294.12 : 351,159.50 = 107,760 : x
  2. Step 2: Convert to fraction form
    234,294.12/351,159.50 = 107,760/x
  3. Step 3: Cross multiply
    234,294.12x = 351,159.50 × 107,760
  4. Step 4: Simplify right side
    234,294.12x = 37,840,947,181.20
  5. Step 5: Solve for x
    x = 37,840,947,181.20/234,294.12
  6. Step 6: Final answer
    x = 161,510.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.