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Finding the Fourth Proportional to 253,892.40, 350,408.82 and 146,441.45

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Solution

The fourth proportional to 253,892.40, 350,408.82 and 146,441.45 is: 202,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,892.40 : 350,408.82 = 146,441.45 : x
  2. Step 2: Convert to fraction form
    253,892.40/350,408.82 = 146,441.45/x
  3. Step 3: Cross multiply
    253,892.40x = 350,408.82 × 146,441.45
  4. Step 4: Simplify right side
    253,892.40x = 51,314,373,941.54
  5. Step 5: Solve for x
    x = 51,314,373,941.54/253,892.40
  6. Step 6: Final answer
    x = 202,110.71

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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.