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Finding the Fourth Proportional to 253,750.57, 350,213.07 and 146,299.57

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Solution

The fourth proportional to 253,750.57, 350,213.07 and 146,299.57 is: 201,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,750.57 : 350,213.07 = 146,299.57 : x
  2. Step 2: Convert to fraction form
    253,750.57/350,213.07 = 146,299.57/x
  3. Step 3: Cross multiply
    253,750.57x = 350,213.07 × 146,299.57
  4. Step 4: Simplify right side
    253,750.57x = 51,236,021,549.38
  5. Step 5: Solve for x
    x = 51,236,021,549.38/253,750.57
  6. Step 6: Final answer
    x = 201,914.90

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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.