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Finding the Fourth Proportional to 277,404, 382,869.44 and 158,172

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Solution

The fourth proportional to 277,404, 382,869.44 and 158,172 is: 218,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,404 : 382,869.44 = 158,172 : x
  2. Step 2: Convert to fraction form
    277,404/382,869.44 = 158,172/x
  3. Step 3: Cross multiply
    277,404x = 382,869.44 × 158,172
  4. Step 4: Simplify right side
    277,404x = 60,559,225,063.68
  5. Step 5: Solve for x
    x = 60,559,225,063.68/277,404
  6. Step 6: Final answer
    x = 218,306.96

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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.