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Finding the Fourth Proportional to 345,094.89, 476,229.87 and 192,129.12

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Solution

The fourth proportional to 345,094.89, 476,229.87 and 192,129.12 is: 265,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,094.89 : 476,229.87 = 192,129.12 : x
  2. Step 2: Convert to fraction form
    345,094.89/476,229.87 = 192,129.12/x
  3. Step 3: Cross multiply
    345,094.89x = 476,229.87 × 192,129.12
  4. Step 4: Simplify right side
    345,094.89x = 91,497,625,840.81
  5. Step 5: Solve for x
    x = 91,497,625,840.81/345,094.89
  6. Step 6: Final answer
    x = 265,137.59

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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.