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Finding the Fourth Proportional to 253,234.56, 349,441.92 and 140,028.96

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Solution

The fourth proportional to 253,234.56, 349,441.92 and 140,028.96 is: 193,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,234.56 : 349,441.92 = 140,028.96 : x
  2. Step 2: Convert to fraction form
    253,234.56/349,441.92 = 140,028.96/x
  3. Step 3: Cross multiply
    253,234.56x = 349,441.92 × 140,028.96
  4. Step 4: Simplify right side
    253,234.56x = 48,931,988,638.00
  5. Step 5: Solve for x
    x = 48,931,988,638.00/253,234.56
  6. Step 6: Final answer
    x = 193,227.93

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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.