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Finding the Fourth Proportional to 251,697.42, 347,292.09 and 144,301.14

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Solution

The fourth proportional to 251,697.42, 347,292.09 and 144,301.14 is: 199,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,697.42 : 347,292.09 = 144,301.14 : x
  2. Step 2: Convert to fraction form
    251,697.42/347,292.09 = 144,301.14/x
  3. Step 3: Cross multiply
    251,697.42x = 347,292.09 × 144,301.14
  4. Step 4: Simplify right side
    251,697.42x = 50,114,644,499.98
  5. Step 5: Solve for x
    x = 50,114,644,499.98/251,697.42
  6. Step 6: Final answer
    x = 199,106.71

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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.