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Finding the Fourth Proportional to 258,644.56, 356,932.76 and 145,467.32

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Solution

The fourth proportional to 258,644.56, 356,932.76 and 145,467.32 is: 200,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,644.56 : 356,932.76 = 145,467.32 : x
  2. Step 2: Convert to fraction form
    258,644.56/356,932.76 = 145,467.32/x
  3. Step 3: Cross multiply
    258,644.56x = 356,932.76 × 145,467.32
  4. Step 4: Simplify right side
    258,644.56x = 51,922,052,017.40
  5. Step 5: Solve for x
    x = 51,922,052,017.40/258,644.56
  6. Step 6: Final answer
    x = 200,746.74

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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.