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Finding the Fourth Proportional to 253,471.37, 349,795.96 and 140,294.12

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Solution

The fourth proportional to 253,471.37, 349,795.96 and 140,294.12 is: 193,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.37 : 349,795.96 = 140,294.12 : x
  2. Step 2: Convert to fraction form
    253,471.37/349,795.96 = 140,294.12/x
  3. Step 3: Cross multiply
    253,471.37x = 349,795.96 × 140,294.12
  4. Step 4: Simplify right side
    253,471.37x = 49,074,314,288.04
  5. Step 5: Solve for x
    x = 49,074,314,288.04/253,471.37
  6. Step 6: Final answer
    x = 193,608.91

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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.