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Finding the Fourth Proportional to 230,032.23, 345,134 and 103,634.56

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Solution

The fourth proportional to 230,032.23, 345,134 and 103,634.56 is: 155,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,032.23 : 345,134 = 103,634.56 : x
  2. Step 2: Convert to fraction form
    230,032.23/345,134 = 103,634.56/x
  3. Step 3: Cross multiply
    230,032.23x = 345,134 × 103,634.56
  4. Step 4: Simplify right side
    230,032.23x = 35,767,810,231.04
  5. Step 5: Solve for x
    x = 35,767,810,231.04/230,032.23
  6. Step 6: Final answer
    x = 155,490.43

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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.