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Finding the Fourth Proportional to 258,264.21, 356,402.71 and 145,086.96

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Solution

The fourth proportional to 258,264.21, 356,402.71 and 145,086.96 is: 200,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,264.21 : 356,402.71 = 145,086.96 : x
  2. Step 2: Convert to fraction form
    258,264.21/356,402.71 = 145,086.96/x
  3. Step 3: Cross multiply
    258,264.21x = 356,402.71 × 145,086.96
  4. Step 4: Simplify right side
    258,264.21x = 51,709,383,222.21
  5. Step 5: Solve for x
    x = 51,709,383,222.21/258,264.21
  6. Step 6: Final answer
    x = 200,218.93

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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.