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Finding the Fourth Proportional to 246,119.84, 339,729.76 and 144,178

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Solution

The fourth proportional to 246,119.84, 339,729.76 and 144,178 is: 199,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,119.84 : 339,729.76 = 144,178 : x
  2. Step 2: Convert to fraction form
    246,119.84/339,729.76 = 144,178/x
  3. Step 3: Cross multiply
    246,119.84x = 339,729.76 × 144,178
  4. Step 4: Simplify right side
    246,119.84x = 48,981,557,337.28
  5. Step 5: Solve for x
    x = 48,981,557,337.28/246,119.84
  6. Step 6: Final answer
    x = 199,015.07

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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.