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Finding the Fourth Proportional to 258,823.92, 357,163.38 and 145,653.96

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Solution

The fourth proportional to 258,823.92, 357,163.38 and 145,653.96 is: 200,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,823.92 : 357,163.38 = 145,653.96 : x
  2. Step 2: Convert to fraction form
    258,823.92/357,163.38 = 145,653.96/x
  3. Step 3: Cross multiply
    258,823.92x = 357,163.38 × 145,653.96
  4. Step 4: Simplify right side
    258,823.92x = 52,022,260,663.98
  5. Step 5: Solve for x
    x = 52,022,260,663.98/258,823.92
  6. Step 6: Final answer
    x = 200,994.79

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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.