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Finding the Fourth Proportional to 258,204.92, 356,356.14 and 145,027.67

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Solution

The fourth proportional to 258,204.92, 356,356.14 and 145,027.67 is: 200,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,204.92 : 356,356.14 = 145,027.67 : x
  2. Step 2: Convert to fraction form
    258,204.92/356,356.14 = 145,027.67/x
  3. Step 3: Cross multiply
    258,204.92x = 356,356.14 × 145,027.67
  4. Step 4: Simplify right side
    258,204.92x = 51,681,500,674.39
  5. Step 5: Solve for x
    x = 51,681,500,674.39/258,204.92
  6. Step 6: Final answer
    x = 200,156.92

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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.