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Finding the Fourth Proportional to 266,135.54, 367,212.20 and 152,936.42

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Solution

The fourth proportional to 266,135.54, 367,212.20 and 152,936.42 is: 211,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,135.54 : 367,212.20 = 152,936.42 : x
  2. Step 2: Convert to fraction form
    266,135.54/367,212.20 = 152,936.42/x
  3. Step 3: Cross multiply
    266,135.54x = 367,212.20 × 152,936.42
  4. Step 4: Simplify right side
    266,135.54x = 56,160,116,647.58
  5. Step 5: Solve for x
    x = 56,160,116,647.58/266,135.54
  6. Step 6: Final answer
    x = 211,020.74

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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.