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Finding the Fourth Proportional to 266,436, 367,681.68 and 147,204

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Solution

The fourth proportional to 266,436, 367,681.68 and 147,204 is: 203,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,436 : 367,681.68 = 147,204 : x
  2. Step 2: Convert to fraction form
    266,436/367,681.68 = 147,204/x
  3. Step 3: Cross multiply
    266,436x = 367,681.68 × 147,204
  4. Step 4: Simplify right side
    266,436x = 54,124,214,022.72
  5. Step 5: Solve for x
    x = 54,124,214,022.72/266,436
  6. Step 6: Final answer
    x = 203,141.52

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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.