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Finding the Fourth Proportional to 258,648.84, 356,935.32 and 145,471.50

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Solution

The fourth proportional to 258,648.84, 356,935.32 and 145,471.50 is: 200,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648.84 : 356,935.32 = 145,471.50 : x
  2. Step 2: Convert to fraction form
    258,648.84/356,935.32 = 145,471.50/x
  3. Step 3: Cross multiply
    258,648.84x = 356,935.32 × 145,471.50
  4. Step 4: Simplify right side
    258,648.84x = 51,923,916,403.38
  5. Step 5: Solve for x
    x = 51,923,916,403.38/258,648.84
  6. Step 6: Final answer
    x = 200,750.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.