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Finding the Fourth Proportional to 253,103.29, 380,245.42 and 147,996.07

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Solution

The fourth proportional to 253,103.29, 380,245.42 and 147,996.07 is: 222,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,103.29 : 380,245.42 = 147,996.07 : x
  2. Step 2: Convert to fraction form
    253,103.29/380,245.42 = 147,996.07/x
  3. Step 3: Cross multiply
    253,103.29x = 380,245.42 × 147,996.07
  4. Step 4: Simplify right side
    253,103.29x = 56,274,827,795.50
  5. Step 5: Solve for x
    x = 56,274,827,795.50/253,103.29
  6. Step 6: Final answer
    x = 222,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.