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Finding the Fourth Proportional to 253,096.52, 349,294.79 and 144,234.14

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Solution

The fourth proportional to 253,096.52, 349,294.79 and 144,234.14 is: 199,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,096.52 : 349,294.79 = 144,234.14 : x
  2. Step 2: Convert to fraction form
    253,096.52/349,294.79 = 144,234.14/x
  3. Step 3: Cross multiply
    253,096.52x = 349,294.79 × 144,234.14
  4. Step 4: Simplify right side
    253,096.52x = 50,380,234,797.76
  5. Step 5: Solve for x
    x = 50,380,234,797.76/253,096.52
  6. Step 6: Final answer
    x = 199,055.43

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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.